56038200 has 96 divisors (see below), whose sum is σ = 176774400. Its totient is φ = 14680960.

The previous prime is 56038187. The next prime is 56038207. The reversal of 56038200 is 283065.

56038200 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 (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56038207) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 34609 + ... + 36191.

It is an arithmetic number, because the mean of its divisors is an integer number (1841400).

Almost surely, 2^56038200 is an apocalyptic number.

56038200 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 56038200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88387200).

56038200 is an abundant number, since it is smaller than the sum of its proper divisors (120736200).

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

56038200 is a wasteful number, since it uses less digits than its factorization.

56038200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1661 (or 1652 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 56038200 is about 7485.8666832906. The cubic root of 56038200 is about 382.6732096043.

The spelling of 56038200 in words is "fifty-six million, thirty-eight thousand, two hundred".