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57830192 = 2472174339
BaseRepresentation
bin1101110010011…
…0101100110000
311000211002002222
43130212230300
5104301031232
65423300212
71301356100
oct334465460
9130732088
1057830192
112a709752
121744a668
13bc9a464
147975200
155124d12
hex3726b30

57830192 has 60 divisors (see below), whose sum is σ = 138038040. Its totient is φ = 23321088.

The previous prime is 57830189. The next prime is 57830197. The reversal of 57830192 is 29103875.

57830192 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 2×578301922 = 6688662213513728, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (57830197) 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 11 ways as a sum of consecutive naturals, for example, 11159 + ... + 15497.

It is an arithmetic number, because the mean of its divisors is an integer number (2300634).

Almost surely, 257830192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57830192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69019020).

57830192 is an abundant number, since it is smaller than the sum of its proper divisors (80207848).

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

57830192 is a wasteful number, since it uses less digits than its factorization.

57830192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4378 (or 4365 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 35.

The square root of 57830192 is about 7604.6164926313. The cubic root of 57830192 is about 386.7095328352.

The spelling of 57830192 in words is "fifty-seven million, eight hundred thirty thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 17 28 34 49 56 68 98 112 119 136 196 238 272 392 476 784 833 952 1666 1904 3332 4339 6664 8678 13328 17356 30373 34712 60746 69424 73763 121492 147526 212611 242984 295052 425222 485968 516341 590104 850444 1032682 1180208 1700888 2065364 3401776 3614387 4130728 7228774 8261456 14457548 28915096 57830192