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57729888 = 2533109613
BaseRepresentation
bin1101110000111…
…0001101100000
311000121222112000
43130032031200
5104234324023
65421204000
71300460466
oct334161540
9130558460
1057729888
112a650357
1217400600
13bc638c8
14794a836
155105243
hex370e360

57729888 has 96 divisors (see below), whose sum is σ = 170200800. Its totient is φ = 19035648.

The previous prime is 57729871. The next prime is 57729913. The reversal of 57729888 is 88892775.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 93870 + ... + 94482.

It is an arithmetic number, because the mean of its divisors is an integer number (1772925).

Almost surely, 257729888 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 57729888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85100400).

57729888 is an abundant number, since it is smaller than the sum of its proper divisors (112470912).

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

57729888 is a wasteful number, since it uses less digits than its factorization.

57729888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 727 counting only the distinct ones).

The product of its digits is 2257920, while the sum is 54.

The square root of 57729888 is about 7598.0186891057. The cubic root of 57729888 is about 386.4858263885.

The spelling of 57729888 in words is "fifty-seven million, seven hundred twenty-nine thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 109 144 216 218 288 327 432 436 613 654 864 872 981 1226 1308 1744 1839 1962 2452 2616 2943 3488 3678 3924 4904 5232 5517 5886 7356 7848 9808 10464 11034 11772 14712 15696 16551 19616 22068 23544 29424 31392 33102 44136 47088 58848 66204 66817 88272 94176 132408 133634 176544 200451 264816 267268 400902 529632 534536 601353 801804 1069072 1202706 1603608 1804059 2138144 2405412 3207216 3608118 4810824 6414432 7216236 9621648 14432472 19243296 28864944 57729888