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57871680 = 2635232621
BaseRepresentation
bin1101110011000…
…0110101000000
311000220012000120
43130300311000
5104303343210
65424220240
71301621046
oct334606500
9130805016
1057871680
112a737939
121746a680
13bcb32c9
147986396
155132270
hex3730d40

57871680 has 112 divisors (see below), whose sum is σ = 191804544. Its totient is φ = 14755840.

The previous prime is 57871651. The next prime is 57871691. The reversal of 57871680 is 8617875.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20770 + ... + 23390.

Almost surely, 257871680 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 57871680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95902272).

57871680 is an abundant number, since it is smaller than the sum of its proper divisors (133932864).

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

57871680 is a wasteful number, since it uses less digits than its factorization.

57871680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2664 (or 2654 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 42.

The square root of 57871680 is about 7607.3438202831. The cubic root of 57871680 is about 386.8019872516.

The spelling of 57871680 in words is "fifty-seven million, eight hundred seventy-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 64 69 80 92 96 115 120 138 160 184 192 230 240 276 320 345 368 460 480 552 690 736 920 960 1104 1380 1472 1840 2208 2621 2760 3680 4416 5242 5520 7360 7863 10484 11040 13105 15726 20968 22080 26210 31452 39315 41936 52420 60283 62904 78630 83872 104840 120566 125808 157260 167744 180849 209680 241132 251616 301415 314520 361698 419360 482264 503232 602830 629040 723396 838720 904245 964528 1205660 1258080 1446792 1808490 1929056 2411320 2516160 2893584 3616980 3858112 4822640 5787168 7233960 9645280 11574336 14467920 19290560 28935840 57871680