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57279264 = 253785237
BaseRepresentation
bin1101101010000…
…0001100100000
310222210002101020
43122200030200
5104130414024
65403405440
71263602640
oct332401440
9128702336
1057279264
112a372839
1217223880
13bb36773
147870520
155066979
hex36a0320

57279264 has 48 divisors (see below), whose sum is σ = 171839808. Its totient is φ = 16365312.

The previous prime is 57279251. The next prime is 57279301. The reversal of 57279264 is 46297275.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41947 + ... + 43290.

It is an arithmetic number, because the mean of its divisors is an integer number (3579996).

Almost surely, 257279264 is an apocalyptic number.

It is an amenable number.

57279264 is an abundant number, since it is smaller than the sum of its proper divisors (114560544).

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

57279264 is a wasteful number, since it uses less digits than its factorization.

57279264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85257 (or 85249 counting only the distinct ones).

The product of its digits is 211680, while the sum is 42.

The square root of 57279264 is about 7568.3065477027. The cubic root of 57279264 is about 385.4775969795.

The spelling of 57279264 in words is "fifty-seven million, two hundred seventy-nine thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 85237 170474 255711 340948 511422 596659 681896 1022844 1193318 1363792 1789977 2045688 2386636 2727584 3579954 4091376 4773272 7159908 8182752 9546544 14319816 19093088 28639632 57279264