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57374568 = 2334372393
BaseRepresentation
bin1101101011011…
…1011101101000
310222221221010000
43122313131220
5104141441233
65405423000
71264450536
oct332673550
9128857100
1057374568
112a4283a9
121726aa60
13bb6ac64
147897156
155084d13
hex36b7768

57374568 has 80 divisors (see below), whose sum is σ = 165114180. Its totient is φ = 18600192.

The previous prime is 57374561. The next prime is 57374573. The reversal of 57374568 is 86547375.

57374568 is a `hidden beast` number, since 57 + 37 + 4 + 568 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 56881764 + 492804 = 7542^2 + 702^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (57374561) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 22780 + ... + 25172.

Almost surely, 257374568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57374568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82557090).

57374568 is an abundant number, since it is smaller than the sum of its proper divisors (107739612).

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

57374568 is a wasteful number, since it uses less digits than its factorization.

57374568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2448 (or 2435 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The square root of 57374568 is about 7574.6001874686. The cubic root of 57374568 is about 385.6912705844.

The spelling of 57374568 in words is "fifty-seven million, three hundred seventy-four thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 81 108 111 148 162 216 222 296 324 333 444 648 666 888 999 1332 1998 2393 2664 2997 3996 4786 5994 7179 7992 9572 11988 14358 19144 21537 23976 28716 43074 57432 64611 86148 88541 129222 172296 177082 193833 258444 265623 354164 387666 516888 531246 708328 775332 796869 1062492 1550664 1593738 2124984 2390607 3187476 4781214 6374952 7171821 9562428 14343642 19124856 28687284 57374568