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392412930 = 235713211057
BaseRepresentation
bin10111011000111…
…011111100000010
31000100101122100020
4113120323330002
51300424203210
6102534434310
712503312010
oct2730737402
91010348306
10392412930
11191563708
12ab502996
13633b6100
143a18b8b0
15246b5770
hex1763bf02

392412930 has 96 divisors (see below), whose sum is σ = 1165601664. Its totient is φ = 82787328.

The previous prime is 392412919. The next prime is 392413013. The reversal of 392412930 is 39214293.

It is a junction number, because it is equal to n+sod(n) for n = 392412891 and 392412900.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29962 + ... + 41018.

It is an arithmetic number, because the mean of its divisors is an integer number (12141684).

Almost surely, 2392412930 is an apocalyptic number.

392412930 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 392412930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582800832).

392412930 is an abundant number, since it is smaller than the sum of its proper divisors (773188734).

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

392412930 is a wasteful number, since it uses less digits than its factorization.

392412930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11100 (or 11087 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 392412930 is about 19809.4151857141. The cubic root of 392412930 is about 732.1180309239.

The spelling of 392412930 in words is "three hundred ninety-two million, four hundred twelve thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 169 182 195 210 273 338 390 455 507 546 845 910 1014 1183 1365 1690 2366 2535 2730 3549 5070 5915 7098 11057 11830 17745 22114 33171 35490 55285 66342 77399 110570 143741 154798 165855 232197 287482 331710 386995 431223 464394 718705 773990 862446 1006187 1160985 1437410 1868633 2012374 2156115 2321970 3018561 3737266 4312230 5030935 5605899 6037122 9343165 10061870 11211798 13080431 15092805 18686330 26160862 28029495 30185610 39241293 56058990 65402155 78482586 130804310 196206465 392412930