56388200 has 144 divisors (see below), whose sum is σ = 153070560. Its totient is φ = 19152000.

The previous prime is 56388187. The next prime is 56388221. The reversal of 56388200 is 288365.

56388200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 35 ways as a sum of consecutive naturals, for example, 794165 + ... + 794235.

It is an arithmetic number, because the mean of its divisors is an integer number (1062990).

Almost surely, 2^56388200 is an apocalyptic number.

56388200 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 56388200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76535280).

56388200 is an abundant number, since it is smaller than the sum of its proper divisors (96682360).

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

56388200 is a wasteful number, since it uses less digits than its factorization.

56388200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 56388200 is about 7509.2076812404. The cubic root of 56388200 is about 383.4682490866.

The spelling of 56388200 in words is "fifty-six million, three hundred eighty-eight thousand, two hundred".