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57004164 = 22327317297
BaseRepresentation
bin1101100101110…
…1000010000100
310222021010000100
43121131002010
5104043113124
65353444100
71261345620
oct331350204
9128233010
1057004164
112a1a5088
1217110630
13ba6b499
1477dc180
1550101c9
hex365d084

57004164 has 72 divisors (see below), whose sum is σ = 170014208. Its totient is φ = 15759360.

The previous prime is 57004153. The next prime is 57004183. The reversal of 57004164 is 46140075.

It is an unprimeable number.

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, 4164 + ... + 11460.

Almost surely, 257004164 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 57004164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85007104).

57004164 is an abundant number, since it is smaller than the sum of its proper divisors (113010044).

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

57004164 is a wasteful number, since it uses less digits than its factorization.

57004164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7345 (or 7340 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 57004164 is about 7550.1101978713. The cubic root of 57004164 is about 384.8594843373.

The spelling of 57004164 in words is "fifty-seven million, four thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 62 63 84 93 124 126 186 217 252 279 372 434 558 651 868 1116 1302 1953 2604 3906 7297 7812 14594 21891 29188 43782 51079 65673 87564 102158 131346 153237 204316 226207 262692 306474 452414 459711 612948 678621 904828 919422 1357242 1583449 1838844 2035863 2714484 3166898 4071726 4750347 6333796 8143452 9500694 14251041 19001388 28502082 57004164