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57666006 = 2341720939
BaseRepresentation
bin1101101111111…
…0100111010110
311000111201220000
43123332213112
5104230303011
65415552130
71300103316
oct333764726
9130451800
1057666006
112a607362
121738b646
13bc407c8
147931446
1550e1356
hex36fe9d6

57666006 has 40 divisors (see below), whose sum is σ = 136821960. Its totient is φ = 18090432.

The previous prime is 57665981. The next prime is 57666013. The reversal of 57666006 is 60066675.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7716 + ... + 13223.

It is an arithmetic number, because the mean of its divisors is an integer number (3420549).

Almost surely, 257666006 is an apocalyptic number.

57666006 is an abundant number, since it is smaller than the sum of its proper divisors (79155954).

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

57666006 is a wasteful number, since it uses less digits than its factorization.

57666006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20970 (or 20961 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 57666006 is about 7593.8136663998. The cubic root of 57666006 is about 386.3432162612.

The spelling of 57666006 in words is "fifty-seven million, six hundred sixty-six thousand, six".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 306 459 918 1377 2754 20939 41878 62817 125634 188451 355963 376902 565353 711926 1067889 1130706 1696059 2135778 3203667 3392118 6407334 9611001 19222002 28833003 57666006