# 252 (number)

 ← 251 252 253 →
Cardinal two hundred fifty-two
Ordinal 252nd
(two hundred and 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
Roman numeral CCLII
Binary 111111002
Ternary 1001003
Quaternary 33304
Quinary 20025
Senary 11006
Octal 3748
Duodecimal 19012
252 is the central binomial coefficient $\tbinom{10}{5}$,[1] and is $\tau(3)$, where $\tau$ is the Ramanujan tau function.[2] 252 is also $\sigma_3(6)$, where $\sigma_3$ is the function that sums the cubes of the divisors of its argument:[3]
$1^3+2^3+3^3+6^3=(1^3+2^3)(1^3+3^3)=252.$