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57037380 = 223517199281
BaseRepresentation
bin1101100110010…
…1001001000100
310222022210120120
43121211021010
5104100144010
65354301540
71261544511
oct331451104
9128283516
1057037380
112a218034
12171278b0
13ba8063a
14780a308
155019e70
hex3665244

57037380 has 96 divisors (see below), whose sum is σ = 170553600. Its totient is φ = 14192640.

The previous prime is 57037369. The next prime is 57037417. The reversal of 57037380 is 8373075.

It is a super-3 number, since 3×570373803 (a number of 24 digits) contains 333 as substring.

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 31 ways as a sum of consecutive naturals, for example, 202840 + ... + 203120.

It is an arithmetic number, because the mean of its divisors is an integer number (1776600).

Almost surely, 257037380 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 57037380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85276800).

57037380 is an abundant number, since it is smaller than the sum of its proper divisors (113516220).

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

57037380 is a wasteful number, since it uses less digits than its factorization.

57037380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 33.

The square root of 57037380 is about 7552.3095805191. The cubic root of 57037380 is about 384.9342216289.

It can be divided in two parts, 570 and 37380, that added together give a triangular number (37950 = T275).

The spelling of 57037380 in words is "fifty-seven million, thirty-seven thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 199 204 255 281 340 398 510 562 597 796 843 995 1020 1124 1194 1405 1686 1990 2388 2810 2985 3372 3383 3980 4215 4777 5620 5970 6766 8430 9554 10149 11940 13532 14331 16860 16915 19108 20298 23885 28662 33830 40596 47770 50745 55919 57324 67660 71655 95540 101490 111838 143310 167757 202980 223676 279595 286620 335514 559190 671028 838785 950623 1118380 1677570 1901246 2851869 3355140 3802492 4753115 5703738 9506230 11407476 14259345 19012460 28518690 57037380