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57379608 = 233211135573
BaseRepresentation
bin1101101011100…
…0101100011000
310222222012000200
43122320230120
5104142121413
65405502200
71264501326
oct332705430
9128865020
1057379608
112a431170
1217271960
13bb70340
147898d16
155086573
hex36b8b18

57379608 has 96 divisors (see below), whose sum is σ = 182604240. Its totient is φ = 16047360.

The previous prime is 57379591. The next prime is 57379613. The reversal of 57379608 is 80697375.

It is a happy number.

57379608 is a `hidden beast` number, since 5 + 7 + 37 + 9 + 608 = 666.

57379608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 7510 + ... + 13082.

Almost surely, 257379608 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 57379608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91302120).

57379608 is an abundant number, since it is smaller than the sum of its proper divisors (125224632).

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

57379608 is a wasteful number, since it uses less digits than its factorization.

57379608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5609 (or 5602 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 57379608 is about 7574.9328709897. The cubic root of 57379608 is about 385.7025637825.

The spelling of 57379608 in words is "fifty-seven million, three hundred seventy-nine thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 33 36 39 44 52 66 72 78 88 99 104 117 132 143 156 198 234 264 286 312 396 429 468 572 792 858 936 1144 1287 1716 2574 3432 5148 5573 10296 11146 16719 22292 33438 44584 50157 61303 66876 72449 100314 122606 133752 144898 183909 200628 217347 245212 289796 367818 401256 434694 490424 551727 579592 652041 735636 796939 869388 1103454 1304082 1471272 1593878 1738776 2206908 2390817 2608164 3187756 4413816 4781634 5216328 6375512 7172451 9563268 14344902 19126536 28689804 57379608