56446100 has 36 divisors (see below), whose sum is σ = 125346144. Its totient is φ = 22051680.

The previous prime is 56446097. The next prime is 56446109. The reversal of 56446100 is 164465.

It is a happy number.

56446100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 56446100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56446109) 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 11 ways as a sum of consecutive naturals, for example, 2264 + ... + 10863.

Almost surely, 2^56446100 is an apocalyptic number.

56446100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56446100 is an abundant number, since it is smaller than the sum of its proper divisors (68900044).

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

56446100 is a wasteful number, since it uses less digits than its factorization.

56446100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13184 (or 13177 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 56446100 is about 7513.0619590151. The cubic root of 56446100 is about 383.5994539403.

It can be divided in two parts, 564 and 46100, that added together give a palindrome (46664).

The spelling of 56446100 in words is "fifty-six million, four hundred forty-six thousand, one hundred".