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57993656 = 2372337439
BaseRepresentation
bin1101110100111…
…0100110111000
311001010101100012
43131032212320
5104321244111
65431001052
71302636500
oct335164670
9131111305
1057993656
112a810546
1217509188
13c026996
1479b8a00
15515848b
hex374e9b8

57993656 has 48 divisors (see below), whose sum is σ = 127155600. Its totient is φ = 24724224.

The previous prime is 57993619. The next prime is 57993671. The reversal of 57993656 is 65639975.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 131885 + ... + 132323.

It is an arithmetic number, because the mean of its divisors is an integer number (2649075).

Almost surely, 257993656 is an apocalyptic number.

57993656 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57993656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63577800).

57993656 is an abundant number, since it is smaller than the sum of its proper divisors (69161944).

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

57993656 is a wasteful number, since it uses less digits than its factorization.

57993656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 785 counting only the distinct ones).

The product of its digits is 1530900, while the sum is 50.

The square root of 57993656 is about 7615.3565904690. The cubic root of 57993656 is about 387.0735504209.

The spelling of 57993656 in words is "fifty-seven million, nine hundred ninety-three thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 337 392 439 674 878 1348 1756 2359 2696 3073 3512 4718 6146 9436 12292 16513 18872 21511 24584 33026 43022 66052 86044 132104 147943 172088 295886 591772 1035601 1183544 2071202 4142404 7249207 8284808 14498414 28996828 57993656