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57058506 = 234438191
BaseRepresentation
bin1101100110101…
…0010011001010
310222100212120000
43121222103022
5104101333011
65354543430
71261663221
oct331522312
9128325500
1057058506
112a23199a
1217137b76
13ba8a13b
147813cb8
155021356
hex366a4ca

57058506 has 40 divisors (see below), whose sum is σ = 130842624. Its totient is φ = 18574920.

The previous prime is 57058483. The next prime is 57058513. The reversal of 57058506 is 60585075.

57058506 is a `hidden beast` number, since 5 + 70 + 585 + 0 + 6 = 666.

57058506 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 19 ways as a sum of consecutive naturals, for example, 2871 + ... + 11061.

Almost surely, 257058506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57058506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65421312).

57058506 is an abundant number, since it is smaller than the sum of its proper divisors (73784118).

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

57058506 is a wasteful number, since it uses less digits than its factorization.

57058506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8248 (or 8239 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 57058506 is about 7553.7080960281. The cubic root of 57058506 is about 384.9817408555.

The spelling of 57058506 in words is "fifty-seven million, fifty-eight thousand, five hundred six".

Divisors: 1 2 3 6 9 18 27 43 54 81 86 129 162 258 387 774 1161 2322 3483 6966 8191 16382 24573 49146 73719 147438 221157 352213 442314 663471 704426 1056639 1326942 2113278 3169917 6339834 9509751 19019502 28529253 57058506