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56440872 = 23321574993
BaseRepresentation
bin1101011101001…
…1100000101000
310221012111022200
43113103200220
5103422101442
65333420200
71253511435
oct327234050
9127174280
1056440872
112994a954
1216a9a660
13b901c87
1476d2b8c
154e4d34c
hex35d3828

56440872 has 48 divisors (see below), whose sum is σ = 153865140. Its totient is φ = 18690048.

The previous prime is 56440861. The next prime is 56440877. The reversal of 56440872 is 27804465.

56440872 is a `hidden beast` number, since 5 + 644 + 0 + 8 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 54552996 + 1887876 = 7386^2 + 1374^2 .

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 (56440877) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8808 + ... + 13800.

Almost surely, 256440872 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 56440872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76932570).

56440872 is an abundant number, since it is smaller than the sum of its proper divisors (97424268).

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

56440872 is a wasteful number, since it uses less digits than its factorization.

56440872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5162 (or 5155 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 56440872 is about 7512.7140235736. The cubic root of 56440872 is about 383.5876106665.

The spelling of 56440872 in words is "fifty-six million, four hundred forty thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 157 314 471 628 942 1256 1413 1884 2826 3768 4993 5652 9986 11304 14979 19972 29958 39944 44937 59916 89874 119832 179748 359496 783901 1567802 2351703 3135604 4703406 6271208 7055109 9406812 14110218 18813624 28220436 56440872