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57938868 = 223313291423
BaseRepresentation
bin1101110100000…
…1001110110100
311001000121012000
43131001032310
5104313020433
65425455300
71302320661
oct335011664
9131017160
1057938868
112a783369
12174a1530
13c007a70
1479a2a68
155147113
hex37413b4

57938868 has 96 divisors (see below), whose sum is σ = 167462400. Its totient is φ = 17200512.

The previous prime is 57938857. The next prime is 57938869. The reversal of 57938868 is 86883975.

It is a happy number.

57938868 is a `hidden beast` number, since 579 + 3 + 8 + 8 + 68 = 666.

57938868 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57938869) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 40005 + ... + 41427.

It is an arithmetic number, because the mean of its divisors is an integer number (1744400).

Almost surely, 257938868 is an apocalyptic number.

57938868 is a gapful number since it is divisible by the number (58) 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 57938868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83731200).

57938868 is an abundant number, since it is smaller than the sum of its proper divisors (109523532).

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

57938868 is a wasteful number, since it uses less digits than its factorization.

57938868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1478 (or 1470 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 57938868 is about 7611.7585353189. The cubic root of 57938868 is about 386.9516194553.

The spelling of 57938868 in words is "fifty-seven million, nine hundred thirty-eight thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 29 36 39 52 54 58 78 87 108 116 117 156 174 234 261 348 351 377 468 522 702 754 783 1044 1131 1404 1423 1508 1566 2262 2846 3132 3393 4269 4524 5692 6786 8538 10179 12807 13572 17076 18499 20358 25614 36998 38421 40716 41267 51228 55497 73996 76842 82534 110994 123801 153684 165068 166491 221988 247602 332982 371403 495204 499473 536471 665964 742806 998946 1072942 1114209 1485612 1609413 1997892 2145884 2228418 3218826 4456836 4828239 6437652 9656478 14484717 19312956 28969434 57938868