52931200 has 192 divisors, whose sum is σ = 159364800. Its totient is φ = 16957440.

The previous prime is 52931173. The next prime is 52931233. The reversal of 52931200 is 213925.

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 23 ways as a sum of consecutive naturals, for example, 380731 + ... + 380869.

It is an arithmetic number, because the mean of its divisors is an integer number (830025).

Almost surely, 2^52931200 is an apocalyptic number.

52931200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52931200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79682400).

52931200 is an abundant number, since it is smaller than the sum of its proper divisors (106433600).

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

52931200 is a wasteful number, since it uses less digits than its factorization.

52931200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 52931200 is about 7275.3831514223. The cubic root of 52931200 is about 375.4659689029.

The spelling of 52931200 in words is "fifty-two million, nine hundred thirty-one thousand, two hundred".