56356300 has 144 divisors (see below), whose sum is σ = 164489472. Its totient is φ = 16185600.

The previous prime is 56356247. The next prime is 56356301. The reversal of 56356300 is 365365.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (56356301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99819 + ... + 100381.

It is an arithmetic number, because the mean of its divisors is an integer number (1142288).

Almost surely, 2^56356300 is an apocalyptic number.

56356300 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 56356300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82244736).

56356300 is an abundant number, since it is smaller than the sum of its proper divisors (108133172).

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

56356300 is a wasteful number, since it uses less digits than its factorization.

56356300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 28.

The square root of 56356300 is about 7507.0833217702. The cubic root of 56356300 is about 383.3959234072.

It can be divided in two parts, 5635 and 6300, that added together give a triangular number (11935 = T₁₅₄).

The spelling of 56356300 in words is "fifty-six million, three hundred fifty-six thousand, three hundred".