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57156066 = 232111915193
BaseRepresentation
bin1101101000001…
…0000111100010
310222112211101100
43122002013202
5104112443231
65401015230
71262550522
oct332020742
9128484340
1057156066
112a299220
1217184516
13bac2676
14783b682
1550401e6
hex36821e2

57156066 has 48 divisors (see below), whose sum is σ = 142215840. Its totient is φ = 16407360.

The previous prime is 57156061. The next prime is 57156097. The reversal of 57156066 is 66065175.

It is a happy number.

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 self number, because there is not a number n which added to its sum of digits gives 57156066.

It is not an unprimeable number, because it can be changed into a prime (57156061) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3835 + ... + 11358.

It is an arithmetic number, because the mean of its divisors is an integer number (2962830).

Almost surely, 257156066 is an apocalyptic number.

57156066 is an abundant number, since it is smaller than the sum of its proper divisors (85059774).

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

57156066 is a wasteful number, since it uses less digits than its factorization.

57156066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15231 (or 15228 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 57156066 is about 7560.1630934789. The cubic root of 57156066 is about 385.2010329194.

It can be divided in two parts, 5715 and 6066, that added together give a triangular number (11781 = T153).

The spelling of 57156066 in words is "fifty-seven million, one hundred fifty-six thousand, sixty-six".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 114 171 198 209 342 418 627 1254 1881 3762 15193 30386 45579 91158 136737 167123 273474 288667 334246 501369 577334 866001 1002738 1504107 1732002 2598003 3008214 3175337 5196006 6350674 9526011 19052022 28578033 57156066