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57938328 = 2334753241
BaseRepresentation
bin1101110100000…
…1000110011000
311001000120110000
43131001012120
5104313011303
65425453000
71302316260
oct335010630
9131016400
1057938328
112a782a18
12174a1160
13c007746
1479a27a0
155146da3
hex3741198

57938328 has 160 divisors (see below), whose sum is σ = 189747360. Its totient is φ = 16174080.

The previous prime is 57938323. The next prime is 57938359. The reversal of 57938328 is 82383975.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57938323) 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 39 ways as a sum of consecutive naturals, for example, 240288 + ... + 240528.

It is an arithmetic number, because the mean of its divisors is an integer number (1185921).

Almost surely, 257938328 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 57938328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94873680).

57938328 is an abundant number, since it is smaller than the sum of its proper divisors (131809032).

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

57938328 is a wasteful number, since it uses less digits than its factorization.

57938328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 306 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 57938328 is about 7611.7230638010. The cubic root of 57938328 is about 386.9504173001.

The spelling of 57938328 in words is "fifty-seven million, nine hundred thirty-eight thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 53 54 56 63 72 81 84 106 108 126 159 162 168 189 212 216 241 252 318 324 371 378 424 477 482 504 567 636 648 723 742 756 954 964 1113 1134 1272 1431 1446 1484 1512 1687 1908 1928 2169 2226 2268 2862 2892 2968 3339 3374 3816 4293 4338 4452 4536 5061 5724 5784 6507 6678 6748 8586 8676 8904 10017 10122 11448 12773 13014 13356 13496 15183 17172 17352 19521 20034 20244 25546 26028 26712 30051 30366 34344 38319 39042 40068 40488 45549 51092 52056 60102 60732 76638 78084 80136 89411 91098 102184 114957 120204 121464 136647 153276 156168 178822 182196 229914 240408 268233 273294 306552 344871 357644 364392 459828 536466 546588 689742 715288 804699 919656 1034613 1072932 1093176 1379484 1609398 2069226 2145864 2414097 2758968 3218796 4138452 4828194 6437592 7242291 8276904 9656388 14484582 19312776 28969164 57938328