56004100 has 36 divisors (see below), whose sum is σ = 123534628. Its totient is φ = 22032000.

The previous prime is 56004083. The next prime is 56004101. The reversal of 56004100 is 140065.

It can be written as a sum of positive squares in 6 ways, for example, as 7311616 + 48692484 = 2704^2 + 6978^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56004101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1510 + ... + 10690.

Almost surely, 2^56004100 is an apocalyptic number.

56004100 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 56004100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61767314).

56004100 is an abundant number, since it is smaller than the sum of its proper divisors (67530528).

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

56004100 is a wasteful number, since it uses less digits than its factorization.

56004100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9256 (or 9249 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 56004100 is about 7483.5887113069. The cubic root of 56004100 is about 382.5955732526.

Adding to 56004100 its reverse (140065), we get a palindrome (56144165).

The spelling of 56004100 in words is "fifty-six million, four thousand, one hundred".