57056144 has 20 divisors (see below), whose sum is σ = 110909196. Its totient is φ = 28434432.

The previous prime is 57056117. The next prime is 57056161. The reversal of 57056144 is 44165075.

57056144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 16096144 + 40960000 = 4012^2 + 6400^2 .

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 57056144.

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 3 ways as a sum of consecutive naturals, for example, 689 + ... + 10704.

Almost surely, 2^57056144 is an apocalyptic number.

It is an amenable number.

57056144 is a deficient number, since it is larger than the sum of its proper divisors (53853052).

57056144 is a wasteful number, since it uses less digits than its factorization.

57056144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11714 (or 11708 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 32.

The square root of 57056144 is about 7553.5517473570. The cubic root of 57056144 is about 384.9764285338.

The spelling of 57056144 in words is "fifty-seven million, fifty-six thousand, one hundred forty-four".