56275100 has 72 divisors (see below), whose sum is σ = 147803040. Its totient is φ = 18155520.

The previous prime is 56275091. The next prime is 56275127. The reversal of 56275100 is 157265.

56275100 = T₃₈₃ + T₃₈₄ + ... + T₇₃₂.

56275100 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 56275100.

It is a congruent number.

It is an unprimeable number.

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, 9536 + ... + 14264.

It is an arithmetic number, because the mean of its divisors is an integer number (2052820).

Almost surely, 2^56275100 is an apocalyptic number.

56275100 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 56275100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73901520).

56275100 is an abundant number, since it is smaller than the sum of its proper divisors (91527940).

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

56275100 is a wasteful number, since it uses less digits than its factorization.

56275100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4767 (or 4760 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 26.

The square root of 56275100 is about 7501.6731467053. The cubic root of 56275100 is about 383.2116984383.

The spelling of 56275100 in words is "fifty-six million, two hundred seventy-five thousand, one hundred".