56251800 has 192 divisors, whose sum is σ = 211593600. Its totient is φ = 13622400.

The previous prime is 56251781. The next prime is 56251831. The reversal of 56251800 is 815265.

56251800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 58927 + ... + 59873.

It is an arithmetic number, because the mean of its divisors is an integer number (1102050).

Almost surely, 2^56251800 is an apocalyptic number.

56251800 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 56251800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105796800).

56251800 is an abundant number, since it is smaller than the sum of its proper divisors (155341800).

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

56251800 is a wasteful number, since it uses less digits than its factorization.

56251800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 56251800 is about 7500.1199990400. The cubic root of 56251800 is about 383.1588031368.

The spelling of 56251800 in words is "fifty-six million, two hundred fifty-one thousand, eight hundred".