52756100 has 36 divisors (see below), whose sum is σ = 121218804. Its totient is φ = 19860480.

The previous prime is 52756073. The next prime is 52756157. The reversal of 52756100 is 165725.

52756100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 454276 + 52301824 = 674^2 + 7232^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 52756100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13817 + ... + 17216.

It is an arithmetic number, because the mean of its divisors is an integer number (3367189).

Almost surely, 2^52756100 is an apocalyptic number.

52756100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

52756100 is an abundant number, since it is smaller than the sum of its proper divisors (68462704).

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

52756100 is a wasteful number, since it uses less digits than its factorization.

52756100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31064 (or 31057 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 26.

The square root of 52756100 is about 7263.3394523456. The cubic root of 52756100 is about 375.0514892263.

The spelling of 52756100 in words is "fifty-two million, seven hundred fifty-six thousand, one hundred".