56948112 has 120 divisors (see below), whose sum is σ = 177723000. Its totient is φ = 16902144.

The previous prime is 56948081. The next prime is 56948117. The reversal of 56948112 is 21184965.

56948112 is a `hidden beast` number, since 569 + 4 + 81 + 12 = 666.

56948112 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 4 ways, for example, as 10653696 + 46294416 = 3264^2 + 6804^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56948117) 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 23 ways as a sum of consecutive naturals, for example, 53764 + ... + 54812.

It is an arithmetic number, because the mean of its divisors is an integer number (1481025).

Almost surely, 2^56948112 is an apocalyptic number.

56948112 is a gapful number since it is divisible by the number (52) 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 56948112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88861500).

56948112 is an abundant number, since it is smaller than the sum of its proper divisors (120774888).

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

56948112 is a wasteful number, since it uses less digits than its factorization.

56948112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105 (or 1096 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 56948112 is about 7546.3972861227. The cubic root of 56948112 is about 384.7332992965.

The spelling of 56948112 in words is "fifty-six million, nine hundred forty-eight thousand, one hundred twelve".