52147264 has 56 divisors (see below), whose sum is σ = 112334040. Its totient is φ = 23875584.

The previous prime is 52147247. The next prime is 52147289. The reversal of 52147264 is 46274125.

It can be written as a sum of positive squares in 4 ways, for example, as 2585664 + 49561600 = 1608^2 + 7040^2 .

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 193722 + ... + 193990.

It is an arithmetic number, because the mean of its divisors is an integer number (2005965).

Almost surely, 2^52147264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52147264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56167020).

52147264 is an abundant number, since it is smaller than the sum of its proper divisors (60186776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

52147264 is a wasteful number, since it uses less digits than its factorization.

52147264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 517 counting only the distinct ones).

The product of its digits is 13440, while the sum is 31.

The square root of 52147264 is about 7221.3062530265. The cubic root of 52147264 is about 373.6031326398.

The spelling of 52147264 in words is "fifty-two million, one hundred forty-seven thousand, two hundred sixty-four".