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57166256 = 2471274019
BaseRepresentation
bin1101101000010…
…0100110110000
310222120100100202
43122010212300
5104113310011
65401134332
71262622320
oct332044660
9128510322
1057166256
112a2a5944
121718a3a8
13bac71b4
147841280
15504323b
hex36849b0

57166256 has 40 divisors (see below), whose sum is σ = 127610880. Its totient is φ = 24300864.

The previous prime is 57166229. The next prime is 57166261. The reversal of 57166256 is 65266175.

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 7 ways as a sum of consecutive naturals, for example, 12215 + ... + 16233.

It is an arithmetic number, because the mean of its divisors is an integer number (3190272).

Almost surely, 257166256 is an apocalyptic number.

57166256 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57166256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63805440).

57166256 is an abundant number, since it is smaller than the sum of its proper divisors (70444624).

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

57166256 is a wasteful number, since it uses less digits than its factorization.

57166256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4161 (or 4155 counting only the distinct ones).

The product of its digits is 75600, while the sum is 38.

The square root of 57166256 is about 7560.8369907041. The cubic root of 57166256 is about 385.2239232590.

The spelling of 57166256 in words is "fifty-seven million, one hundred sixty-six thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 56 112 127 254 508 889 1016 1778 2032 3556 4019 7112 8038 14224 16076 28133 32152 56266 64304 112532 225064 450128 510413 1020826 2041652 3572891 4083304 7145782 8166608 14291564 28583128 57166256