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57427680 = 2535181661
BaseRepresentation
bin1101101100010…
…0011011100000
311000001121222010
43123010123200
5104200141210
65410512520
71265061432
oct333043340
9130047863
1057427680
112a4642a2
1217295740
13bb8919b
1478ac652
155095920
hex36c46e0

57427680 has 96 divisors (see below), whose sum is σ = 182171808. Its totient is φ = 15206400.

The previous prime is 57427651. The next prime is 57427697. The reversal of 57427680 is 8672475.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86550 + ... + 87210.

It is an arithmetic number, because the mean of its divisors is an integer number (1897623).

Almost surely, 257427680 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 57427680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91085904).

57427680 is an abundant number, since it is smaller than the sum of its proper divisors (124744128).

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

57427680 is a wasteful number, since it uses less digits than its factorization.

57427680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The square root of 57427680 is about 7578.1053040981. The cubic root of 57427680 is about 385.8102461616.

The spelling of 57427680 in words is "fifty-seven million, four hundred twenty-seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 181 240 362 480 543 661 724 905 1086 1322 1448 1810 1983 2172 2644 2715 2896 3305 3620 3966 4344 5288 5430 5792 6610 7240 7932 8688 9915 10576 10860 13220 14480 15864 17376 19830 21152 21720 26440 28960 31728 39660 43440 52880 63456 79320 86880 105760 119641 158640 239282 317280 358923 478564 598205 717846 957128 1196410 1435692 1794615 1914256 2392820 2871384 3589230 3828512 4785640 5742768 7178460 9571280 11485536 14356920 19142560 28713840 57427680