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57672468 = 22327228859
BaseRepresentation
bin1101110000000…
…0001100010100
311000112001202100
43130000030110
5104231004333
65420042100
71300131210
oct334001424
9130461670
1057672468
112a6111a7
1217393330
13bc43729
147933940
1550e3213
hex3700314

57672468 has 36 divisors (see below), whose sum is σ = 166610080. Its totient is φ = 16477776.

The previous prime is 57672463. The next prime is 57672469. The reversal of 57672468 is 86427675.

57672468 is a `hidden beast` number, since 576 + 72 + 4 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×576724682 = 6652227130422048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57672463) 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, 114178 + ... + 114681.

Almost surely, 257672468 is an apocalyptic number.

It is an amenable number.

57672468 is an abundant number, since it is smaller than the sum of its proper divisors (108937612).

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

57672468 is a wasteful number, since it uses less digits than its factorization.

57672468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228876 (or 228871 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 57672468 is about 7594.2391323950. The cubic root of 57672468 is about 386.3576468116.

The spelling of 57672468 in words is "fifty-seven million, six hundred seventy-two thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 228859 457718 686577 915436 1373154 1602013 2059731 2746308 3204026 4119462 4806039 6408052 8238924 9612078 14418117 19224156 28836234 57672468