52882560 has 96 divisors (see below), whose sum is σ = 182629980. Its totient is φ = 14100480.

The previous prime is 52882553. The next prime is 52882603. The reversal of 52882560 is 6528825.

52882560 is a `hidden beast` number, since 528 + 82 + 56 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 52881984 + 576 = 7272^2 + 24^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

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 11 ways as a sum of consecutive naturals, for example, 1170 + ... + 10350.

Almost surely, 2^52882560 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 52882560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91314990).

52882560 is an abundant number, since it is smaller than the sum of its proper divisors (129747420).

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

52882560 is a wasteful number, since it uses less digits than its factorization.

52882560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9206 (or 9191 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 52882560 is about 7272.0396038526. The cubic root of 52882560 is about 375.3509248356.

The spelling of 52882560 in words is "fifty-two million, eight hundred eighty-two thousand, five hundred sixty".