56424100 has 36 divisors (see below), whose sum is σ = 122781204. Its totient is φ = 22506880.

The previous prime is 56424089. The next prime is 56424101. The reversal of 56424100 is 142465.

It can be written as a sum of positive squares in 6 ways, for example, as 26481316 + 29942784 = 5146^2 + 5472^2 .

It is not an unprimeable number, because it can be changed into a prime (56424101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55194 + ... + 56206.

It is an arithmetic number, because the mean of its divisors is an integer number (3410589).

Almost surely, 2^56424100 is an apocalyptic number.

56424100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56424100 is an abundant number, since it is smaller than the sum of its proper divisors (66357104).

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

56424100 is a wasteful number, since it uses less digits than its factorization.

56424100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1584 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 56424100 is about 7511.5976995577. The cubic root of 56424100 is about 383.5496112017.

Adding to 56424100 its reverse (142465), we get a palindrome (56566565).

The spelling of 56424100 in words is "fifty-six million, four hundred twenty-four thousand, one hundred".