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57288114 = 23313791033
BaseRepresentation
bin1101101010001…
…0010110110010
310222210112112000
43122202112302
5104131204424
65403514430
71263640512
oct332422662
9128715460
1057288114
112a379454
1217228a16
13bb3a7c0
147873842
1550693c9
hex36a25b2

57288114 has 64 divisors (see below), whose sum is σ = 138969600. Its totient is φ = 17387136.

The previous prime is 57288107. The next prime is 57288131. The reversal of 57288114 is 41188275.

57288114 is a `hidden beast` number, since 572 + 8 + 81 + 1 + 4 = 666.

57288114 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 54942 + ... + 55974.

It is an arithmetic number, because the mean of its divisors is an integer number (2171400).

Almost surely, 257288114 is an apocalyptic number.

57288114 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 57288114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69484800).

57288114 is an abundant number, since it is smaller than the sum of its proper divisors (81681486).

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

57288114 is a wasteful number, since it uses less digits than its factorization.

57288114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136 (or 1130 counting only the distinct ones).

The product of its digits is 17920, while the sum is 36.

The square root of 57288114 is about 7568.8912001693. The cubic root of 57288114 is about 385.4974488468.

The spelling of 57288114 in words is "fifty-seven million, two hundred eighty-eight thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 79 117 158 234 237 351 474 702 711 1027 1033 1422 2054 2066 2133 3081 3099 4266 6162 6198 9243 9297 13429 18486 18594 26858 27729 27891 40287 55458 55782 80574 81607 120861 163214 241722 244821 362583 489642 725166 734463 1060891 1468926 2121782 2203389 3182673 4406778 6365346 9548019 19096038 28644057 57288114