52593920 has 72 divisors (see below), whose sum is σ = 133444584. Its totient is φ = 19791872.

The previous prime is 52593841. The next prime is 52593941. The reversal of 52593920 is 2939525.

It can be written as a sum of positive squares in 4 ways, for example, as 26050816 + 26543104 = 5104^2 + 5152^2 .

It is a super-2 number, since 2×52593920² = 5532240841932800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 20552 + ... + 22968.

It is an arithmetic number, because the mean of its divisors is an integer number (1853397).

Almost surely, 2^52593920 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 52593920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66722292).

52593920 is an abundant number, since it is smaller than the sum of its proper divisors (80850664).

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

52593920 is a wasteful number, since it uses less digits than its factorization.

52593920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2455 (or 2441 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 35.

The square root of 52593920 is about 7252.1665728250. The cubic root of 52593920 is about 374.6667736111. Note that the first 3 decimals are identical.

The spelling of 52593920 in words is "fifty-two million, five hundred ninety-three thousand, nine hundred twenty".