56355048 has 64 divisors (see below), whose sum is σ = 157752000. Its totient is φ = 18639936.

The previous prime is 56355041. The next prime is 56355053. The reversal of 56355048 is 84055365.

56355048 is a `hidden beast` number, since 5 + 63 + 550 + 48 = 666.

It is a Cunningham number, because it is equal to 7507²-1.

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

It is not an unprimeable number, because it can be changed into a prime (56355041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29086 + ... + 30962.

It is an arithmetic number, because the mean of its divisors is an integer number (2464875).

Almost surely, 2^56355048 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 56355048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78876000).

56355048 is an abundant number, since it is smaller than the sum of its proper divisors (101396952).

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

56355048 is a wasteful number, since it uses less digits than its factorization.

56355048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2031 (or 2021 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 56355048 is about 7506.9999333955. Note that the first 4 decimals coincide. The cubic root of 56355048 is about 383.3930842378.

It can be divided in two parts, 563 and 55048, that added together give a triangular number (55611 = T₃₃₃).

The spelling of 56355048 in words is "fifty-six million, three hundred fifty-five thousand, forty-eight".