56058144 has 48 divisors (see below), whose sum is σ = 148246560. Its totient is φ = 18547200.

The previous prime is 56058139. The next prime is 56058157. The reversal of 56058144 is 44185065.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 11244 + ... + 15444.

It is an arithmetic number, because the mean of its divisors is an integer number (3088470).

Almost surely, 2^56058144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56058144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74123280).

56058144 is an abundant number, since it is smaller than the sum of its proper divisors (92188416).

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

56058144 is a wasteful number, since it uses less digits than its factorization.

56058144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4353 (or 4345 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 56058144 is about 7487.1986750720. The cubic root of 56058144 is about 382.7186020286.

The spelling of 56058144 in words is "fifty-six million, fifty-eight thousand, one hundred forty-four".