252 (number)

252 (two hundred ndfifty-two) is the natural number following 251 and preceding 253.

In mathematics

252 is:
*the central binomial coefficient $\tbinom$, the largest one divisible by all coefficients in the previous line
*$\tau(3)$, where $\tau$ is the Ramanujan tau function.
*$\sigma_3(6)$, where $\sigma_3$ is the function that sums the cubes of the divisors of its argument:
:$1^3+2^3+3^3+6^3=(1^3+2^3)(1^3+3^3)=252.$
*a practical number,
*a refactorable number,
*a hexagonal pyramidal number.
*a member of the Mian-Chowla sequence.

There are 252 points on the surface of a cuboctahedron of radius five in the face-centered cubic lattice, 252 ways of writing the number 4 as a sum of six squares of integers, 252 ways of choosing four squares from a 4×4 chessboard up to reflections and rotations, and 252 ways of placing three pieces on a Connect Four board.

References

Integers

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