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56908656 = 243671741
BaseRepresentation
bin1101100100010…
…1101101110000
310222002021000000
43121011231300
5104032034111
65351430000
71260500310
oct331055560
9128067000
1056908656
112a13a352
1217085300
13ba36b7c
1477b5440
154ee1c56
hex3645b70

56908656 has 280 divisors, whose sum is σ = 204924384. Its totient is φ = 14929920.

The previous prime is 56908597. The next prime is 56908703. The reversal of 56908656 is 65680965.

56908656 = T43 + T44 + ... + T698.

56908656 is a `hidden beast` number, since 569 + 0 + 86 + 5 + 6 = 666.

56908656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 1387996 + ... + 1388036.

Almost surely, 256908656 is an apocalyptic number.

56908656 is a gapful number since it is divisible by the number (56) 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 56908656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102462192).

56908656 is an abundant number, since it is smaller than the sum of its proper divisors (148015728).

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

56908656 is a wasteful number, since it uses less digits than its factorization.

56908656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 56908656 is about 7543.7826055633. The cubic root of 56908656 is about 384.6444257374.

The spelling of 56908656 in words is "fifty-six million, nine hundred eight thousand, six hundred fifty-six".