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57269040 = 2435192661
BaseRepresentation
bin1101101001110…
…1101100110000
310222202120100120
43122131230300
5104130102130
65403250240
71263531063
oct332355460
9128676316
1057269040
112a366094
1217219980
13bb31c0a
14786a8da
155063910
hex369db30

57269040 has 120 divisors (see below), whose sum is σ = 187653168. Its totient is φ = 14446080.

The previous prime is 57269033. The next prime is 57269053. The reversal of 57269040 is 4096275.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 57268992 and 57269010.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86310 + ... + 86970.

Almost surely, 257269040 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 57269040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93826584).

57269040 is an abundant number, since it is smaller than the sum of its proper divisors (130384128).

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

57269040 is a wasteful number, since it uses less digits than its factorization.

57269040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 57269040 is about 7567.6310692316. The cubic root of 57269040 is about 385.4546604798.

The spelling of 57269040 in words is "fifty-seven million, two hundred sixty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 361 380 456 570 661 722 760 912 1083 1140 1322 1444 1520 1805 1983 2166 2280 2644 2888 3305 3610 3966 4332 4560 5288 5415 5776 6610 7220 7932 8664 9915 10576 10830 12559 13220 14440 15864 17328 19830 21660 25118 26440 28880 31728 37677 39660 43320 50236 52880 62795 75354 79320 86640 100472 125590 150708 158640 188385 200944 238621 251180 301416 376770 477242 502360 602832 715863 753540 954484 1004720 1193105 1431726 1507080 1908968 2386210 2863452 3014160 3579315 3817936 4772420 5726904 7158630 9544840 11453808 14317260 19089680 28634520 57269040