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289032282 = 2327211313
BaseRepresentation
bin10001001110100…
…100100001011010
3202010212100202100
4101032210201122
51042443013112
644402544230
710106506500
oct2116444132
9663770670
10289032282
11139173260
1280968076
1347b5a926
142a55a670
151a5942dc
hex113a485a

289032282 has 144 divisors (see below), whose sum is σ = 821193984. Its totient is φ = 72651600.

The previous prime is 289032253. The next prime is 289032347. The reversal of 289032282 is 282230982.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9323607 + ... + 9323637.

It is an arithmetic number, because the mean of its divisors is an integer number (5702736).

Almost surely, 2289032282 is an apocalyptic number.

289032282 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 289032282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410596992).

289032282 is an abundant number, since it is smaller than the sum of its proper divisors (532161702).

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

289032282 is a wasteful number, since it uses less digits than its factorization.

289032282 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 289032282 is about 17000.9494440752. The cubic root of 289032282 is about 661.1735182405.

The spelling of 289032282 in words is "two hundred eighty-nine million, thirty-two thousand, two hundred eighty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 31 33 42 49 62 63 66 77 93 98 99 126 147 154 186 198 217 231 279 294 341 434 441 462 539 558 651 682 693 882 961 1023 1078 1302 1386 1519 1617 1922 1953 2046 2387 2883 3038 3069 3234 3906 4557 4774 4851 5766 6138 6727 7161 8649 9114 9702 10571 13454 13671 14322 16709 17298 20181 21142 21483 27342 29791 31713 33418 40362 42966 47089 50127 59582 60543 63426 73997 89373 94178 95139 100254 121086 141267 147994 150381 178746 190278 208537 221991 268119 282534 300762 327701 417074 423801 443982 517979 536238 625611 655402 665973 847602 983103 1035958 1251222 1331946 1459759 1553937 1876833 1966206 2293907 2919518 2949309 3107874 3753666 4379277 4587814 4661811 5898618 6881721 8758554 9323622 13137831 13763442 16057349 20645163 26275662 32114698 41290326 48172047 96344094 144516141 289032282