56 (number)
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56 (fifty-six) is the
natural number In mathematics, the natural numbers are those numbers used for counting (as in "there are ''six'' coins on the table") and total order, ordering (as in "this is the ''third'' largest city in the country"). In common mathematical terminology, w ...
following 55 and preceding 57.


Mathematics

56 is: * The sum of the first six
triangular number A triangular number or triangle number counts objects arranged in an equilateral triangle In geometry, an equilateral triangle is a triangle in which all three sides have the same length. In the familiar Euclidean geometry, an equilateral triang ...
s (making it a
tetrahedral number A tetrahedral number, or triangular pyramidal number, is a figurate number that represents a pyramid (geometry), pyramid with a triangular base and three sides, called a tetrahedron. The th tetrahedral number, , is the sum of the first triangular ...
). * The number of ways to choose 3 out of 8 objects or 5 out of 8 objects, if order does not matter. * The sum of six consecutive
primes A prime number (or a prime) is a natural number File:Three Baskets.svg, Natural numbers can be used for counting (one apple, two apples, three apples, ...) In mathematics, the natural numbers are those numbers used for counting (as in "the ...
(3 + 5 + 7 + 11 + 13 + 17) * a tetranacci number and a
pronic number A pronic number is a number which is the product of two consecutive integer An integer (from the Latin Latin (, or , ) is a classical language belonging to the Italic branch of the Indo-European languages. Latin was originally spoke ...
. * The sum of the sums of the divisors of the first 8
positive integers In mathematics, the natural numbers are those numbers used for counting (as in "there are ''six'' coins on the table") and total order, ordering (as in "this is the ''third'' largest city in the country"). In common mathematical terminology, w ...
. * A
semiperfect number In number theory Number theory (or arithmetic or higher arithmetic in older usage) is a branch of devoted primarily to the study of the s and . German mathematician (1777–1855) said, "Mathematics is the queen of the sciences—and number th ...
, since 56 is twice a
perfect number In number theory Number theory (or arithmetic or higher arithmetic in older usage) is a branch of devoted primarily to the study of the s and . German mathematician (1777–1855) said, "Mathematics is the queen of the sciences—and number ...
. * A partition number - the number of distinct ways 11 can be represented as the sum of natural numbers. * An
Erdős–Woods numberIn number theory, a positive integer is said to be an Erdős–Woods number if it has the following property: there exists a positive integer such that in the sequence In mathematics, a sequence is an enumerated collection of objects in which re ...
, since it is possible to find sequences of 56 consecutive integers such that each inner member shares a factor with either the first or the last member. * The only known number n such that , where φ(''m'') is
Euler's totient function In number theory Number theory (or arithmetic or higher arithmetic in older usage) is a branch of devoted primarily to the study of the s and . German mathematician (1777–1855) said, "Mathematics is the queen of the sciences—and numbe ...
and σ(''n'') is the sum of the divisor function, see . The maximum determinant in an 8 by 8
matrix Matrix or MATRIX may refer to: Science and mathematics * Matrix (mathematics), a rectangular array of numbers, symbols, or expressions * Matrix (logic), part of a formula in prenex normal form * Matrix (biology), the material in between a eukaryot ...
of zeroes and ones is 56.
Plutarch Plutarch (; grc-gre, Πλούταρχος, ''Ploútarchos''; ; AD 46 – after AD 119) was a Greek Middle Platonist Middle Platonism is the modern name given to a stage in the development of Platonic philosophy, lasting from about 90 BC&nbs ...

Plutarch
states that the
Pythagoreans Pythagoreanism originated in the 6th century BC, based on the teachings and beliefs held by Pythagoras and his followers, the Pythagoreans. Pythagoras established the first Pythagorean community in Crotone, Italy. Early Pythagorean communities spr ...
associated a polygon of 56 sides with
Typhon Typhon (; el, Τυφῶν, ), also Typhoeus (; ), Typhaon () or Typhos (), was a monstrous serpentine giant and one of the deadliest creatures in Greek mythology Greek mythology is the body of myth Myth is a folklore genre Folk ...
and that they associated certain polygons of smaller numbers of sides with other figures in Greek mythology. While it is impossible to construct a perfect regular 56-sided polygon using a compass and straightedge, a close approximation has recently been discovered which it is claimed might have been used at Stonehenge, and it is constructible if the use of an
angle trisector In Euclidean geometry, an angle is the figure formed by two Ray (geometry), rays, called the ''sides'' of the angle, sharing a common endpoint, called the ''vertex (geometry), vertex'' of the angle. Angles formed by two rays lie in the plane (ge ...
is allowed since 56 = 23 × 7.


Science, technology, and biology

* The
atomic number The atomic number or proton number (symbol ''Z'') of a chemical element In chemistry, an element is a pure Chemical substance, substance consisting only of atoms that all have the same numbers of protons in their atomic nucleus, nuclei. ...
of
barium Barium is a chemical element with the Symbol (chemistry), symbol Ba and atomic number 56. It is the fifth element in group 2 and is a soft, silvery alkaline earth metal. Because of its high chemical Reactivity (chemistry), reactivity, ba ...

barium
. * In humans,
olfactory receptor Olfactory receptors (ORs), also known as odorant receptors, are chemoreceptor A chemoreceptor, also known as chemosensor, is a specialized sensory receptor Sensory neurons, also known as afferent neurons, are neuron A neuron or nerve cell is ...
s are categorized in 56
families In human society A society is a Social group, group of individuals involved in persistent Social relation, social interaction, or a large social group sharing the same spatial or social territory, typically subject to the same Politi ...

families
. * The code for international direct dial phone calls to
Chile Chile, officially the Republic of Chile, is a country in the western part of South America South America is a entirely in the and mostly in the , with a relatively small portion in the . It can also be described as the southern ...

Chile
. * The maximum speed of analog data transmission over a Plain old telephone service, POTS in the 20th century was 56 kbit/s. * The 56-bit encryption, number of bits in a key used in the Data Encryption Standard.


Astronomy

* Messier object Messier 56, M56, a visual magnitude, magnitude 9.5 globular cluster in the constellation Lyra * The New General Catalogue]
object
NGC 56, an unverified object in the constellation Pisces (constellation), Pisces, which does not appear to be a real object


Music

* "56 Minutes", a 2007 David Woodard composition for piano, violin, cello and electronics * Flatfoot 56, a Christian punk rock band * "Along For The Ride ('56 T-bird)" sung by Danny O'Keefe ** This song was covered by John Denver * "Five Feet of Lovin '56" sung by Gene Vincent * ''Elvis '56'', an Elvis Presley CD * The name of a Plexi song * Xperimento56, a Spanish Funk/Rock band * ''56 Nights'', a mixtape by Future (rapper), Future


Television and film

* The car number of Ray Peyton, Jr. (Breckin Meyer) in ''Herbie: Fully Loaded'' * ''Nasser 56'', a documentary * Roberto, a character in ''Futurama'', gets angered when Bender (Futurama), Bender chooses the number "56-ish" when negotiating to spare his friends


Sports

* Joe DiMaggio's 56-game hitting streak, which Joe DiMaggio, DiMaggio accomplished in 1941 Major League Baseball season, 1941 with the New York Yankees. This remains a record today. *Hack Wilson hit 56 home runs in 1930 in baseball, 1930, a National League record until 1998 Major League Baseball home run record chase, 1998 *56 people died in a fire at Valley Parade on May 11 in the Bradford City stadium fire. *The number of the laps of the Chinese Grand Prix, Malaysian Grand Prix, and United States Grand Prix since 2012 United States Grand Prix, 2012, the first season in which the US race was held at the Circuit of the Americas.


Organizations

* The symbol of the Hungarian Revolution of 1956. * Brazilian politician, Enéas Carneiro has an odd way of repeating the number of his party, "Fifty-Six" (cinquenta e seis, in Portuguese language, Portuguese), making it a widely repeated jargon in his country. * 56 Stuff, an international art community and a record label. * Department 56 designer of collectibles, giftware and seasonal decorations such as miniature village houses.


People

* Shirley Temple, as a child, wore 56 curls in her hair. Curls were set by her mother, who thus made sure of the exact number. * Isoroku Yamamoto, named "Isoroku" because his father's age was 56 at his birth, and "Isoroku" is an old Japanese term meaning 56.


Geography

* The name of the town Fifty-Six, Arkansas. * The number of counties in the state of Montana. * In the Los Angeles postal district, Zone 56 (now the ZIP Code area 90056) is one of few that is not within the Los Angeles City Limits (90020 and 90044 are others). * 56 is the number of the French department Morbihan. * There are 56 Longhurst codes. * +56 is the code for international direct-dial phone calls to
Chile Chile, officially the Republic of Chile, is a country in the western part of South America South America is a entirely in the and mostly in the , with a relatively small portion in the . It can also be described as the southern ...

Chile
.


Archaeology

* The number of Aubrey Holes (thought to have located wooden posts) in the first stage of Stonehenge.


Cosmogony

* According to Aristotle, 56 is the number of layers of the Universe - Earth plus 55 crystalline spheres above it.''Heaven'' by Lisa Miller, (2010), - page 13.


History

* The number of men who signed the United States Declaration of Independence in 1776. * The number of men of Umm Tuba, Netophah at the census of men of Israel upon return from exile (Book of Ezra, Ezra 2:22).


Occultism

* There should be 56 cards in the Minor Arcana of a Tarot deck.


See also

* List of highways numbered 56


References

{{DEFAULTSORT:56 (Number) Integers