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57122982 = 236729193
BaseRepresentation
bin1101100111101…
…0000010100110
310222111011000000
43121322002212
5104110413412
65400202130
71262352210
oct331720246
9128434000
1057122982
112a276384
1217169346
13bab05a7
14782d5b0
1550354dc
hex367a0a6

57122982 has 112 divisors (see below), whose sum is σ = 152670240. Its totient is φ = 15676416.

The previous prime is 57122981. The next prime is 57122993. The reversal of 57122982 is 28922175.

57122982 is a `hidden beast` number, since 571 + 2 + 2 + 9 + 82 = 666.

57122982 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57122981) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 295878 + ... + 296070.

Almost surely, 257122982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57122982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76335120).

57122982 is an abundant number, since it is smaller than the sum of its proper divisors (95547258).

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

57122982 is a wasteful number, since it uses less digits than its factorization.

57122982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 234 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 57122982 is about 7557.9747287220. The cubic root of 57122982 is about 385.1266958073.

The spelling of 57122982 in words is "fifty-seven million, one hundred twenty-two thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 29 42 54 58 63 81 87 126 162 174 189 193 203 243 261 378 386 406 486 522 567 579 609 729 783 1134 1158 1218 1351 1458 1566 1701 1737 1827 2349 2702 3402 3474 3654 4053 4698 5103 5211 5481 5597 7047 8106 10206 10422 10962 11194 12159 14094 15633 16443 16791 21141 24318 31266 32886 33582 36477 39179 42282 46899 49329 50373 72954 78358 93798 98658 100746 109431 117537 140697 147987 151119 218862 235074 281394 295974 302238 328293 352611 453357 656586 705222 906714 984879 1057833 1360071 1969758 2115666 2720142 3173499 4080213 6346998 8160426 9520497 19040994 28561491 57122982