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56906136 = 23327112909
BaseRepresentation
bin1101100100010…
…1000110011000
310222002010112200
43121011012120
5104031444021
65351410200
71260460050
oct331050630
9128063480
1056906136
112a138471
1217083960
13ba35991
1477b4560
154ee1126
hex3645198

56906136 has 48 divisors (see below), whose sum is σ = 176139600. Its totient is φ = 16258752.

The previous prime is 56906119. The next prime is 56906141. The reversal of 56906136 is 63160965.

56906136 is a `hidden beast` number, since 569 + 0 + 61 + 36 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 56906136.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55951 + ... + 56958.

It is an arithmetic number, because the mean of its divisors is an integer number (3669575).

Almost surely, 256906136 is an apocalyptic number.

56906136 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

56906136 is an abundant number, since it is smaller than the sum of its proper divisors (119233464).

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

56906136 is a wasteful number, since it uses less digits than its factorization.

56906136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112928 (or 112921 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 56906136 is about 7543.6155787527. The cubic root of 56906136 is about 384.6387481110.

The spelling of 56906136 in words is "fifty-six million, nine hundred six thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 112909 225818 338727 451636 677454 790363 903272 1016181 1354908 1580726 2032362 2371089 2709816 3161452 4064724 4742178 6322904 7113267 8129448 9484356 14226534 18968712 28453068 56906136