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57795136 = 267237179
BaseRepresentation
bin1101110001111…
…0001001000000
311000202022000121
43130132021000
5104243421021
65422430024
71301151640
oct334361100
9130668017
1057795136
112a695383
1217432314
13bc87509
147966520
155119741
hex371e240

57795136 has 112 divisors (see below), whose sum is σ = 140451840. Its totient is φ = 23063040.

The previous prime is 57795107. The next prime is 57795149. The reversal of 57795136 is 63159775.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 57795092 and 57795101.

It is a congruent number.

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, 731545 + ... + 731623.

Almost surely, 257795136 is an apocalyptic number.

57795136 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 57795136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70225920).

57795136 is an abundant number, since it is smaller than the sum of its proper divisors (82656704).

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

57795136 is a wasteful number, since it uses less digits than its factorization.

57795136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 182 counting only the distinct ones).

The product of its digits is 198450, while the sum is 43.

The square root of 57795136 is about 7602.3112275150. The cubic root of 57795136 is about 386.6313774109.

The spelling of 57795136 in words is "fifty-seven million, seven hundred ninety-five thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 71 79 92 112 142 158 161 184 224 284 316 322 368 448 497 553 568 632 644 736 994 1106 1136 1264 1288 1472 1633 1817 1988 2212 2272 2528 2576 3266 3634 3976 4424 4544 5056 5152 5609 6532 7268 7952 8848 10304 11218 11431 12719 13064 14536 15904 17696 22436 22862 25438 26128 29072 31808 35392 39263 44872 45724 50876 52256 58144 78526 89744 91448 101752 104512 116288 129007 157052 179488 182896 203504 258014 314104 358976 365792 407008 516028 628208 731584 814016 903049 1032056 1256416 1806098 2064112 2512832 3612196 4128224 7224392 8256448 14448784 28897568 57795136