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57314784 = 2533119259
BaseRepresentation
bin1101101010100…
…0110111100000
310222211220002210
43122220313200
5104133033114
65404242120
71264111332
oct332506740
9128756083
1057314784
112a39749a
1217240340
13bb49997
14787d452
155072259
hex36a8de0

57314784 has 48 divisors (see below), whose sum is σ = 155312640. Its totient is φ = 18487680.

The previous prime is 57314779. The next prime is 57314797. The reversal of 57314784 is 48741375.

57314784 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6654 + ... + 12605.

It is an arithmetic number, because the mean of its divisors is an integer number (3235680).

Almost surely, 257314784 is an apocalyptic number.

It is an amenable number.

57314784 is an abundant number, since it is smaller than the sum of its proper divisors (97997856).

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

57314784 is a wasteful number, since it uses less digits than its factorization.

57314784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19303 (or 19295 counting only the distinct ones).

The product of its digits is 94080, while the sum is 39.

The square root of 57314784 is about 7570.6528120103. The cubic root of 57314784 is about 385.5572612652.

The spelling of 57314784 in words is "fifty-seven million, three hundred fourteen thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 19259 38518 57777 77036 115554 154072 231108 308144 462216 597029 616288 924432 1194058 1791087 1848864 2388116 3582174 4776232 7164348 9552464 14328696 19104928 28657392 57314784