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57113904 = 24331131293
BaseRepresentation
bin1101100111011…
…1110100110000
310222110200112210
43121313310300
5104110121104
65400052120
71262313561
oct331676460
9128420483
1057113904
112a26a581
1217164040
13baa9413
14782a168
155032989
hex3677d30

57113904 has 80 divisors (see below), whose sum is σ = 153990144. Its totient is φ = 18220800.

The previous prime is 57113893. The next prime is 57113909. The reversal of 57113904 is 40931175.

It is not an unprimeable number, because it can be changed into a prime (57113909) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 194782 + ... + 195074.

Almost surely, 257113904 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 57113904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76995072).

57113904 is an abundant number, since it is smaller than the sum of its proper divisors (96876240).

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

57113904 is a wasteful number, since it uses less digits than its factorization.

57113904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 57113904 is about 7557.3741471493. The cubic root of 57113904 is about 385.1062932463.

The spelling of 57113904 in words is "fifty-seven million, one hundred thirteen thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 131 186 248 262 293 372 393 496 524 586 744 786 879 1048 1172 1488 1572 1758 2096 2344 3144 3516 4061 4688 6288 7032 8122 9083 12183 14064 16244 18166 24366 27249 32488 36332 38383 48732 54498 64976 72664 76766 97464 108996 115149 145328 153532 194928 217992 230298 307064 435984 460596 614128 921192 1189873 1842384 2379746 3569619 4759492 7139238 9518984 14278476 19037968 28556952 57113904