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57074024 = 2372197997
BaseRepresentation
bin1101100110111…
…0000101101000
310222101122211202
43121232011220
5104102332044
65355143332
71262056400
oct331560550
9128348752
1057074024
112a242617
1217144b48
13ba94217
147819800
155025c4e
hex366e168

57074024 has 96 divisors (see below), whose sum is σ = 134064000. Its totient is φ = 22643712.

The previous prime is 57074011. The next prime is 57074033. The reversal of 57074024 is 42047075.

57074024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 588344 + ... + 588440.

It is an arithmetic number, because the mean of its divisors is an integer number (1396500).

Almost surely, 257074024 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 57074024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67032000).

57074024 is an abundant number, since it is smaller than the sum of its proper divisors (76989976).

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

57074024 is a wasteful number, since it uses less digits than its factorization.

57074024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 29.

The square root of 57074024 is about 7554.7352038308. The cubic root of 57074024 is about 385.0166383994.

The spelling of 57074024 in words is "fifty-seven million, seventy-four thousand, twenty-four".

Divisors: 1 2 4 7 8 14 19 28 38 49 56 76 79 97 98 133 152 158 194 196 266 316 388 392 532 553 632 679 776 931 1064 1106 1358 1501 1843 1862 2212 2716 3002 3686 3724 3871 4424 4753 5432 6004 7372 7448 7663 7742 9506 10507 12008 12901 14744 15326 15484 19012 21014 25802 30652 30968 38024 42028 51604 53641 61304 73549 84056 90307 103208 107282 145597 147098 180614 214564 291194 294196 361228 375487 429128 582388 588392 722456 750974 1019179 1164776 1501948 2038358 3003896 4076716 7134253 8153432 14268506 28537012 57074024