52002880 has 56 divisors (see below), whose sum is σ = 125135640. Its totient is φ = 20582400.

The previous prime is 52002877. The next prime is 52002889. The reversal of 52002880 is 8820025.

It can be written as a sum of positive squares in 4 ways, for example, as 33547264 + 18455616 = 5792^2 + 4296^2 .

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (52002889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31516 + ... + 33124.

It is an arithmetic number, because the mean of its divisors is an integer number (2234565).

Almost surely, 2^52002880 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 52002880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62567820).

52002880 is an abundant number, since it is smaller than the sum of its proper divisors (73132760).

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

52002880 is a wasteful number, since it uses less digits than its factorization.

52002880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1727 (or 1717 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 52002880 is about 7211.3022402337. The cubic root of 52002880 is about 373.2580063443.

The spelling of 52002880 in words is "fifty-two million, two thousand, eight hundred eighty".