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57539240 = 23511251521
BaseRepresentation
bin1101101101111…
…1101010101000
311000021021222222
43123133222220
5104212223430
65413133212
71266034613
oct333375250
9130237888
1057539240
112a5300a0
121732a208
13bbc7bb5
1478db17a
1550b89e5
hex36dfaa8

57539240 has 64 divisors (see below), whose sum is σ = 142067520. Its totient is φ = 20800000.

The previous prime is 57539231. The next prime is 57539243. The reversal of 57539240 is 4293575.

It is a self number, because there is not a number n which added to its sum of digits gives 57539240.

It is not an unprimeable number, because it can be changed into a prime (57539243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110180 + ... + 110700.

It is an arithmetic number, because the mean of its divisors is an integer number (2219805).

Almost surely, 257539240 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 57539240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71033760).

57539240 is an abundant number, since it is smaller than the sum of its proper divisors (84528280).

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

57539240 is a wasteful number, since it uses less digits than its factorization.

57539240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 35.

The square root of 57539240 is about 7585.4624117452. The cubic root of 57539240 is about 386.0599117722.

The spelling of 57539240 in words is "fifty-seven million, five hundred thirty-nine thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 251 440 502 521 1004 1042 1255 2008 2084 2510 2605 2761 4168 5020 5210 5522 5731 10040 10420 11044 11462 13805 20840 22088 22924 27610 28655 45848 55220 57310 110440 114620 130771 229240 261542 523084 653855 1046168 1307710 1438481 2615420 2876962 5230840 5753924 7192405 11507848 14384810 28769620 57539240