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57900066 = 2372296791
BaseRepresentation
bin1101110011011…
…1110000100010
311000221121221220
43130313300202
5104310300231
65424555510
71302066600
oct334676042
9130847856
1057900066
112a7571a4
1217482b96
13bcc31c3
147992870
15513a896
hex3737c22

57900066 has 48 divisors (see below), whose sum is σ = 139371840. Its totient is φ = 15970080.

The previous prime is 57900043. The next prime is 57900067. The reversal of 57900066 is 66000975.

It is a super-3 number, since 3×579000663 (a number of 24 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (57900067) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5131 + ... + 11921.

It is an arithmetic number, because the mean of its divisors is an integer number (2903580).

Almost surely, 257900066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57900066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69685920).

57900066 is an abundant number, since it is smaller than the sum of its proper divisors (81471774).

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

57900066 is a wasteful number, since it uses less digits than its factorization.

57900066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6839 (or 6832 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 57900066 is about 7609.2092887500. The cubic root of 57900066 is about 386.8652189078.

The spelling of 57900066 in words is "fifty-seven million, nine hundred thousand, sixty-six".

Divisors: 1 2 3 6 7 14 21 29 42 49 58 87 98 147 174 203 294 406 609 1218 1421 2842 4263 6791 8526 13582 20373 40746 47537 95074 142611 196939 285222 332759 393878 590817 665518 998277 1181634 1378573 1996554 2757146 4135719 8271438 9650011 19300022 28950033 57900066