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57290814 = 2347192659
BaseRepresentation
bin1101101010001…
…1000000111110
310222210200020000
43122203000332
5104131301224
65403535130
71263651420
oct332430076
9128720200
1057290814
112a380489
121722a4a6
13bb3bab9
147874810
15506a0c9
hex36a303e

57290814 has 80 divisors (see below), whose sum is σ = 154492800. Its totient is φ = 15501456.

The previous prime is 57290809. The next prime is 57290851. The reversal of 57290814 is 41809275.

57290814 is a `hidden beast` number, since 572 + 9 + 0 + 81 + 4 = 666.

57290814 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent 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 39 ways as a sum of consecutive naturals, for example, 20217 + ... + 22875.

It is an arithmetic number, because the mean of its divisors is an integer number (1931160).

Almost surely, 257290814 is an apocalyptic number.

57290814 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 57290814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77246400).

57290814 is an abundant number, since it is smaller than the sum of its proper divisors (97201986).

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

57290814 is a wasteful number, since it uses less digits than its factorization.

57290814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2699 (or 2690 counting only the distinct ones).

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

The square root of 57290814 is about 7569.0695597279. The cubic root of 57290814 is about 385.5035049417.

The spelling of 57290814 in words is "fifty-seven million, two hundred ninety thousand, eight hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 54 57 63 81 114 126 133 162 171 189 266 342 378 399 513 567 798 1026 1134 1197 1539 2394 2659 3078 3591 5318 7182 7977 10773 15954 18613 21546 23931 37226 47862 50521 55839 71793 101042 111678 143586 151563 167517 215379 303126 335034 353647 430758 454689 502551 707294 909378 1005102 1060941 1364067 1507653 2121882 2728134 3015306 3182823 4092201 6365646 8184402 9548469 19096938 28645407 57290814