52809264 has 60 divisors (see below), whose sum is σ = 149296992. Its totient is φ = 17424000.

The previous prime is 52809257. The next prime is 52809277. The reversal of 52809264 is 46290825.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12729 + ... + 16359.

Almost surely, 2^52809264 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 52809264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74648496).

52809264 is an abundant number, since it is smaller than the sum of its proper divisors (96487728).

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

52809264 is a wasteful number, since it uses less digits than its factorization.

52809264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3746 (or 3737 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 52809264 is about 7266.9982798952. The cubic root of 52809264 is about 375.1774307023.

The spelling of 52809264 in words is "fifty-two million, eight hundred nine thousand, two hundred sixty-four".