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57077136 = 243444041
BaseRepresentation
bin1101100110111…
…0110110010000
310222101211010000
43121232312100
5104102432021
65355210000
71262101434
oct331566620
9128354100
1057077136
112a244996
1217146900
13ba9576c
14781a9c4
155026b26
hex366ed90

57077136 has 50 divisors (see below), whose sum is σ = 165201542. Its totient is φ = 19025280.

The previous prime is 57077101. The next prime is 57077147. The reversal of 57077136 is 63177075.

57077136 is a `hidden beast` number, since 570 + 77 + 13 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 49787136 + 7290000 = 7056^2 + 2700^2 .

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 57077136.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 20725 + ... + 23316.

Almost surely, 257077136 is an apocalyptic number.

It is an amenable number.

57077136 is an abundant number, since it is smaller than the sum of its proper divisors (108124406).

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

57077136 is a wasteful number, since it uses less digits than its factorization.

57077136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44061 (or 44046 counting only the distinct ones).

The product of its (nonzero) digits is 30870, while the sum is 36.

The square root of 57077136 is about 7554.9411645624. The cubic root of 57077136 is about 385.0236360370.

The spelling of 57077136 in words is "fifty-seven million, seventy-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 44041 88082 132123 176164 264246 352328 396369 528492 704656 792738 1056984 1189107 1585476 2113968 2378214 3170952 3567321 4756428 6341904 7134642 9512856 14269284 19025712 28538568 57077136