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392290290 = 23457431609
BaseRepresentation
bin10111011000011…
…101111111110010
31000100011102010000
4113120131333302
51300411242130
6102532050430
712502261320
oct2730357762
91010142100
10392290290
1119148a557
12ab463a16
1363372342
143a158d10
152468e260
hex1761dff2

392290290 has 160 divisors (see below), whose sum is σ = 1234316160. Its totient is φ = 87526656.

The previous prime is 392290273. The next prime is 392290291. The reversal of 392290290 is 92092293.

It is not an unprimeable number, because it can be changed into a prime (392290291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 243006 + ... + 244614.

It is an arithmetic number, because the mean of its divisors is an integer number (7714476).

Almost surely, 2392290290 is an apocalyptic number.

392290290 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 392290290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617158080).

392290290 is an abundant number, since it is smaller than the sum of its proper divisors (842025870).

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

392290290 is a wasteful number, since it uses less digits than its factorization.

392290290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1678 (or 1669 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 392290290 is about 19806.3194460758. The cubic root of 392290290 is about 732.0417538666.

The spelling of 392290290 in words is "three hundred ninety-two million, two hundred ninety thousand, two hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 43 45 54 63 70 81 86 90 105 126 129 135 162 189 210 215 258 270 301 315 378 387 405 430 567 602 630 645 774 810 903 945 1134 1161 1290 1505 1609 1806 1890 1935 2322 2709 2835 3010 3218 3483 3870 4515 4827 5418 5670 5805 6966 8045 8127 9030 9654 11263 11610 13545 14481 16090 16254 17415 22526 24135 24381 27090 28962 33789 34830 40635 43443 48270 48762 56315 67578 69187 72405 81270 86886 101367 112630 121905 130329 138374 144810 168945 202734 207561 217215 243810 260658 304101 337890 345935 415122 434430 484309 506835 608202 622683 651645 691870 912303 968618 1013670 1037805 1245366 1303290 1452927 1520505 1824606 1868049 2075610 2421545 2905854 3041010 3113415 3736098 4358781 4561515 4843090 5604147 6226830 7264635 8717562 9123030 9340245 11208294 13076343 14529270 18680490 21793905 26152686 28020735 39229029 43587810 56041470 65381715 78458058 130763430 196145145 392290290