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57934968 = 23371341647
BaseRepresentation
bin1101110100000…
…0010001111000
311001000101211120
43131000101320
5104312404333
65425425240
71302303420
oct335002170
9131011746
1057934968
112a780443
121749b220
13c006060
1479a1480
155145db3
hex3740478

57934968 has 128 divisors (see below), whose sum is σ = 182891520. Its totient is φ = 14883840.

The previous prime is 57934957. The next prime is 57934969. The reversal of 57934968 is 86943975.

It is a super-2 number, since 2×579349682 = 6712921034322048, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 57934968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57934969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89221 + ... + 89867.

It is an arithmetic number, because the mean of its divisors is an integer number (1428840).

Almost surely, 257934968 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 57934968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91445760).

57934968 is an abundant number, since it is smaller than the sum of its proper divisors (124956552).

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

57934968 is a wasteful number, since it uses less digits than its factorization.

57934968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 713 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 51.

The square root of 57934968 is about 7611.5023484198. The cubic root of 57934968 is about 386.9429370559.

The spelling of 57934968 in words is "fifty-seven million, nine hundred thirty-four thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 41 42 52 56 78 82 84 91 104 123 156 164 168 182 246 273 287 312 328 364 492 533 546 574 647 728 861 984 1066 1092 1148 1294 1599 1722 1941 2132 2184 2296 2588 3198 3444 3731 3882 4264 4529 5176 6396 6888 7462 7764 8411 9058 11193 12792 13587 14924 15528 16822 18116 22386 25233 26527 27174 29848 33644 36232 44772 50466 53054 54348 58877 67288 79581 89544 100932 106108 108696 117754 159162 176631 185689 201864 212216 235508 318324 344851 353262 371378 471016 557067 636648 689702 706524 742756 1034553 1114134 1379404 1413048 1485512 2069106 2228268 2413957 2758808 4138212 4456536 4827914 7241871 8276424 9655828 14483742 19311656 28967484 57934968