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56668176 = 2432974057
BaseRepresentation
bin1101100000101…
…1000000010000
310221122001010100
43120023000100
5104001340201
65342332400
71255446225
oct330130020
9127561110
1056668176
1129a95704
1216b8a100
13b981586
14775194c
154e95886
hex360b010

56668176 has 60 divisors (see below), whose sum is σ = 160266652. Its totient is φ = 18690048.

The previous prime is 56668151. The next prime is 56668187. The reversal of 56668176 is 67186665.

It can be written as a sum of positive squares in 2 ways, for example, as 27248400 + 29419776 = 5220^2 + 5424^2 .

It is a super-2 number, since 2×566681762 = 6422564342333952, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11940 + ... + 15996.

Almost surely, 256668176 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 56668176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80133326).

56668176 is an abundant number, since it is smaller than the sum of its proper divisors (103598476).

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

56668176 is a wasteful number, since it uses less digits than its factorization.

56668176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4168 (or 4159 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 56668176 is about 7527.8267780283. The cubic root of 56668176 is about 384.1018609985.

The spelling of 56668176 in words is "fifty-six million, six hundred sixty-eight thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 97 144 194 291 388 582 776 873 1164 1552 1746 2328 3492 4057 4656 6984 8114 12171 13968 16228 24342 32456 36513 48684 64912 73026 97368 146052 194736 292104 393529 584208 787058 1180587 1574116 2361174 3148232 3541761 4722348 6296464 7083522 9444696 14167044 18889392 28334088 56668176