252 (number)

← 251 252 253 →
←250251252253254255256257258259→ List of numbers Integers ←0100200300400500600700800900→
Cardinal	two hundred fifty-two
Ordinal	252nd (two hundred fifty-second)
Factorization	22× 32× 7
Divisors	1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
Greek numeral	ΣΝΒ´
Roman numeral	CCLII
Binary	111111002
Ternary	1001003
Senary	11006
Octal	3748
Duodecimal	19012
Hexadecimal	FC16

252(two hundred [and] fifty-two) is thenatural numberfollowing251and preceding253.

In mathematics

252is:

• thecentral binomial coefficient${\tbinom {10}{5}}$,the largest one divisible by all coefficients in the previous line
• $\tau (3)$,where$\tau$is theRamanujan tau function.
• $\sigma _{3}(6)$,where$\sigma _{3}$is thefunction that sums the cubes of the divisorsof its argument:

$1^{3}+2^{3}+3^{3}+6^{3}=(1^{3}+2^{3})(1^{3}+3^{3})=252.$

• apractical number,
• arefactorable number,
• ahexagonal pyramidal number.
• a member of theMian-Chowla sequence.

There are 252 points on the surface of acuboctahedronof radius five in theface-centered cubiclattice,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 aConnect Fourboard.