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57808968 = 2337615641
BaseRepresentation
bin1101110010000…
…1100001001000
311000202222222220
43130201201020
5104244341333
65423014040
71301240160
oct334414110
9130688886
1057808968
112a6a4808
121743a320
13bc908b9
14796b5a0
15511d8b3
hex3721848

57808968 has 64 divisors (see below), whose sum is σ = 167905920. Its totient is φ = 16243200.

The previous prime is 57808847. The next prime is 57808969. The reversal of 57808968 is 86980875.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 57808968.

It is not an unprimeable number, because it can be changed into a prime (57808969) 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, 7428 + ... + 13068.

It is an arithmetic number, because the mean of its divisors is an integer number (2623530).

Almost surely, 257808968 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 57808968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83952960).

57808968 is an abundant number, since it is smaller than the sum of its proper divisors (110096952).

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

57808968 is a wasteful number, since it uses less digits than its factorization.

57808968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5718 (or 5714 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 51.

The square root of 57808968 is about 7603.2208964359. The cubic root of 57808968 is about 386.6622188681.

The spelling of 57808968 in words is "fifty-seven million, eight hundred eight thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 61 84 122 168 183 244 366 427 488 732 854 1281 1464 1708 2562 3416 5124 5641 10248 11282 16923 22564 33846 39487 45128 67692 78974 118461 135384 157948 236922 315896 344101 473844 688202 947688 1032303 1376404 2064606 2408707 2752808 4129212 4817414 7226121 8258424 9634828 14452242 19269656 28904484 57808968