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57684096 = 273316691
BaseRepresentation
bin1101110000001…
…1000010000000
311000112122201000
43130003002000
5104231342341
65420212000
71300210131
oct334030200
9130478630
1057684096
112a619a08
121739a000
13bc48b02
147937c88
1550e68b6
hex3703080

57684096 has 64 divisors (see below), whose sum is σ = 170258400. Its totient is φ = 19226880.

The previous prime is 57684049. The next prime is 57684139. The reversal of 57684096 is 69048675.

It is a tau number, because it is divible by the number of its divisors (64).

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, 4890 + ... + 11801.

Almost surely, 257684096 is an apocalyptic number.

It is an amenable number.

57684096 is an abundant number, since it is smaller than the sum of its proper divisors (112574304).

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

57684096 is a wasteful number, since it uses less digits than its factorization.

57684096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16714 (or 16696 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 57684096 is about 7595.0046741263. The cubic root of 57684096 is about 386.3836110483.

The spelling of 57684096 in words is "fifty-seven million, six hundred eighty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 16691 33382 50073 66764 100146 133528 150219 200292 267056 300438 400584 450657 534112 600876 801168 901314 1068224 1201752 1602336 1802628 2136448 2403504 3204672 3605256 4807008 6409344 7210512 9614016 14421024 19228032 28842048 57684096