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57000608 = 2571959227
BaseRepresentation
bin1101100101110…
…0001010100000
310222020221010122
43121130022200
5104043004413
65353415412
71261332350
oct331341240
9128227118
1057000608
112a1a2445
121710a568
13ba69992
1477dab60
15500e108
hex365c2a0

57000608 has 96 divisors (see below), whose sum is σ = 137894400. Its totient is φ = 22650624.

The previous prime is 57000583. The next prime is 57000617. The reversal of 57000608 is 80600075.

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, 250991 + ... + 251217.

It is an arithmetic number, because the mean of its divisors is an integer number (1436400).

Almost surely, 257000608 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 57000608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68947200).

57000608 is an abundant number, since it is smaller than the sum of its proper divisors (80893792).

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

57000608 is a wasteful number, since it uses less digits than its factorization.

57000608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 57000608 is about 7549.8747009470. The cubic root of 57000608 is about 384.8514814788.

The spelling of 57000608 in words is "fifty-seven million, six hundred eight", and thus it is an aban number.

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 59 76 112 118 133 152 224 227 236 266 304 413 454 472 532 608 826 908 944 1064 1121 1589 1652 1816 1888 2128 2242 3178 3304 3632 4256 4313 4484 6356 6608 7264 7847 8626 8968 12712 13216 13393 15694 17252 17936 25424 26786 30191 31388 34504 35872 50848 53572 60382 62776 69008 93751 107144 120764 125552 138016 187502 214288 241528 251104 254467 375004 428576 483056 508934 750008 966112 1017868 1500016 1781269 2035736 3000032 3562538 4071472 7125076 8142944 14250152 28500304 57000608