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56542527 = 32171013659
BaseRepresentation
bin1101011110110…
…0010100111111
310221101122202200
43113230110333
5103433330102
65335522543
71254414006
oct327542477
9127348680
1056542527
1129a0a268
1216b29453
13b939322
14771bc3d
154e6d51c
hex35ec53f

56542527 has 24 divisors (see below), whose sum is σ = 87356880. Its totient is φ = 35116800.

The previous prime is 56542523. The next prime is 56542531. The reversal of 56542527 is 72524565.

56542527 is a `hidden beast` number, since 565 + 42 + 52 + 7 = 666.

It is an interprime number because it is at equal distance from previous prime (56542523) and next prime (56542531).

It is not a de Polignac number, because 56542527 - 22 = 56542523 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 56542491 and 56542500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56542523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13624 + ... + 17282.

It is an arithmetic number, because the mean of its divisors is an integer number (3639870).

Almost surely, 256542527 is an apocalyptic number.

56542527 is a deficient number, since it is larger than the sum of its proper divisors (30814353).

56542527 is a wasteful number, since it uses less digits than its factorization.

56542527 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3783 (or 3780 counting only the distinct ones).

The product of its digits is 84000, while the sum is 36.

The square root of 56542527 is about 7519.4765110345. The cubic root of 56542527 is about 383.8177642784.

The spelling of 56542527 in words is "fifty-six million, five hundred forty-two thousand, five hundred twenty-seven".

Divisors: 1 3 9 17 51 101 153 303 909 1717 3659 5151 10977 15453 32931 62203 186609 369559 559827 1108677 3326031 6282503 18847509 56542527