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57080664 = 23322334469
BaseRepresentation
bin1101100110111…
…1101101011000
310222101222221200
43121233231120
5104103040124
65355234200
71262114634
oct331575530
9128358850
1057080664
112a247603
1217148960
13ba97254
14781bdc4
155027bc9
hex366fb58

57080664 has 48 divisors (see below), whose sum is σ = 161319600. Its totient is φ = 18199104.

The previous prime is 57080659. The next prime is 57080669. The reversal of 57080664 is 46608075.

It is a happy number.

57080664 is a `hidden beast` number, since 570 + 80 + 6 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (57080659) and next prime (57080669).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57080669) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15579 + ... + 18890.

It is an arithmetic number, because the mean of its divisors is an integer number (3360825).

Almost surely, 257080664 is an apocalyptic number.

It is an amenable number.

57080664 is an abundant number, since it is smaller than the sum of its proper divisors (104238936).

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

57080664 is a wasteful number, since it uses less digits than its factorization.

57080664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34504 (or 34497 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 57080664 is about 7555.1746505293. The cubic root of 57080664 is about 385.0315687837.

The spelling of 57080664 in words is "fifty-seven million, eighty thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 552 828 1656 34469 68938 103407 137876 206814 275752 310221 413628 620442 792787 827256 1240884 1585574 2378361 2481768 3171148 4756722 6342296 7135083 9513444 14270166 19026888 28540332 57080664