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57799040 = 275136947
BaseRepresentation
bin1101110001111…
…1000110000000
311000202111101012
43130133012000
5104244032130
65422500052
71301166215
oct334370600
9130674335
1057799040
112a698302
1217434628
13bc89220
147967b0c
15511a995
hex371f180

57799040 has 64 divisors (see below), whose sum is σ = 148826160. Its totient is φ = 21338112.

The previous prime is 57799033. The next prime is 57799057. The reversal of 57799040 is 4099775.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4847 + ... + 11793.

Almost surely, 257799040 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 57799040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74413080).

57799040 is an abundant number, since it is smaller than the sum of its proper divisors (91027120).

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

57799040 is a wasteful number, since it uses less digits than its factorization.

57799040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6979 (or 6967 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 41.

The square root of 57799040 is about 7602.5679872001. The cubic root of 57799040 is about 386.6400827278.

The spelling of 57799040 in words is "fifty-seven million, seven hundred ninety-nine thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 260 320 416 520 640 832 1040 1664 2080 4160 6947 8320 13894 27788 34735 55576 69470 90311 111152 138940 180622 222304 277880 361244 444608 451555 555760 722488 889216 903110 1111520 1444976 1806220 2223040 2889952 3612440 4446080 5779904 7224880 11559808 14449760 28899520 57799040