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56445048 = 23321131931
BaseRepresentation
bin1101011101010…
…0100001111000
310221012201001100
43113110201320
5103422220143
65333451400
71253526552
oct327244170
9127181040
1056445048
1129953000
1216aa0b60
13b903b4a
1476d44d2
154e4e6d3
hex35d4878

56445048 has 192 divisors, whose sum is σ = 182707200. Its totient is φ = 15681600.

The previous prime is 56445047. The next prime is 56445089. The reversal of 56445048 is 84054465.

56445048 is a `hidden beast` number, since 5 + 644 + 5 + 0 + 4 + 8 = 666.

56445048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (56445047) 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 47 ways as a sum of consecutive naturals, for example, 1820793 + ... + 1820823.

It is an arithmetic number, because the mean of its divisors is an integer number (951600).

Almost surely, 256445048 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 56445048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91353600).

56445048 is an abundant number, since it is smaller than the sum of its proper divisors (126262152).

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

56445048 is a wasteful number, since it uses less digits than its factorization.

56445048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 56445048 is about 7512.9919472870. The cubic root of 56445048 is about 383.5970708460.

The spelling of 56445048 in words is "fifty-six million, four hundred forty-five thousand, forty-eight".