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57840426 = 2337179001
BaseRepresentation
bin1101110010100…
…1001100101010
311000211121011000
43130221030222
5104301343201
65423415430
71301430660
oct334511452
9130747130
1057840426
112a716406
1217454576
13bca2007
147978c30
155127d86
hex372932a

57840426 has 64 divisors (see below), whose sum is σ = 155554560. Its totient is φ = 15552000.

The previous prime is 57840401. The next prime is 57840439. The reversal of 57840426 is 62404875.

57840426 is a `hidden beast` number, since 578 + 40 + 42 + 6 = 666.

57840426 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×578404262 = 6691029759722952, which contains 22 as substring.

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

It is a Curzon 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 31 ways as a sum of consecutive naturals, for example, 1926 + ... + 10926.

It is an arithmetic number, because the mean of its divisors is an integer number (2430540).

Almost surely, 257840426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57840426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77777280).

57840426 is an abundant number, since it is smaller than the sum of its proper divisors (97714134).

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

57840426 is a wasteful number, since it uses less digits than its factorization.

57840426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9036 (or 9030 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 57840426 is about 7605.2893436082. The cubic root of 57840426 is about 386.7323430190.

Subtracting from 57840426 its sum of digits (36), we obtain a triangular number (57840390 = T10755).

The spelling of 57840426 in words is "fifty-seven million, eight hundred forty thousand, four hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 102 119 126 153 189 238 306 357 378 459 714 918 1071 2142 3213 6426 9001 18002 27003 54006 63007 81009 126014 153017 162018 189021 243027 306034 378042 459051 486054 567063 918102 1071119 1134126 1377153 1701189 2142238 2754306 3213357 3402378 4131459 6426714 8262918 9640071 19280142 28920213 57840426