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57640806 = 23223294801
BaseRepresentation
bin1101101111100…
…0011101100110
311000110110022200
43123320131212
5104224001211
65415235330
71266636666
oct333703546
9130413280
1057640806
112a59a433
1217378b46
13bc321b2
1479261a6
1550d8b56
hex36f8766

57640806 has 48 divisors (see below), whose sum is σ = 134840160. Its totient is φ = 17740800.

The previous prime is 57640787. The next prime is 57640831. The reversal of 57640806 is 60804675.

It is a happy number.

57640806 is a `hidden beast` number, since 5 + 7 + 640 + 8 + 0 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9606 + ... + 14406.

It is an arithmetic number, because the mean of its divisors is an integer number (2809170).

Almost surely, 257640806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57640806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67420080).

57640806 is an abundant number, since it is smaller than the sum of its proper divisors (77199354).

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

57640806 is a wasteful number, since it uses less digits than its factorization.

57640806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4861 (or 4858 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 57640806 is about 7592.1542397399. The cubic root of 57640806 is about 386.2869308327.

The spelling of 57640806 in words is "fifty-seven million, six hundred forty thousand, eight hundred six".

Divisors: 1 2 3 6 9 18 23 29 46 58 69 87 138 174 207 261 414 522 667 1334 2001 4002 4801 6003 9602 12006 14403 28806 43209 86418 110423 139229 220846 278458 331269 417687 662538 835374 993807 1253061 1987614 2506122 3202267 6404534 9606801 19213602 28820403 57640806