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57378608 = 2472163449
BaseRepresentation
bin1101101011100…
…0011100110000
310222222010122122
43122320130300
5104142103413
65405453412
71264465400
oct332703460
9128863578
1057378608
112a430441
1217271268
13bb6ca51
147898800
155086108
hex36b8730

57378608 has 60 divisors (see below), whose sum is σ = 130404600. Its totient is φ = 24385536.

The previous prime is 57378589. The next prime is 57378619. The reversal of 57378608 is 80687375.

57378608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 127568 + ... + 128016.

It is an arithmetic number, because the mean of its divisors is an integer number (2173410).

Almost surely, 257378608 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 57378608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65202300).

57378608 is an abundant number, since it is smaller than the sum of its proper divisors (73025992).

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

57378608 is a wasteful number, since it uses less digits than its factorization.

57378608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 44.

The square root of 57378608 is about 7574.8668635165. The cubic root of 57378608 is about 385.7003231212.

The spelling of 57378608 in words is "fifty-seven million, three hundred seventy-eight thousand, six hundred eight".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 163 196 326 392 449 652 784 898 1141 1304 1796 2282 2608 3143 3592 4564 6286 7184 7987 9128 12572 15974 18256 22001 25144 31948 44002 50288 63896 73187 88004 127792 146374 176008 292748 352016 512309 585496 1024618 1170992 2049236 3586163 4098472 7172326 8196944 14344652 28689304 57378608