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8285335828 = 227111011132357
BaseRepresentation
bin1111011011101100…
…00011000100010100
3210101102022200001221
413231312003010110
5113432021221303
63450051300124
7412214123020
oct75566030424
923342280057
108285335828
113571946490
1217328aa644
13a206a83a3
14588541380
153375ae4bd
hex1edd83114

8285335828 has 96 divisors (see below), whose sum is σ = 18425449728. Its totient is φ = 3166464000.

The previous prime is 8285335819. The next prime is 8285335837.

8285335828 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (8285335819) and next prime (8285335837).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3514026 + ... + 3516382.

It is an arithmetic number, because the mean of its divisors is an integer number (191931768).

Almost surely, 28285335828 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 8285335828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9212724864).

8285335828 is an abundant number, since it is smaller than the sum of its proper divisors (10140113900).

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

8285335828 is a wasteful number, since it uses less digits than its factorization.

8285335828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2593 (or 2591 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 52.

The square root of 8285335828 is about 91023.8201131989. The cubic root of 8285335828 is about 2023.5007611839.

The spelling of 8285335828 in words is "eight billion, two hundred eighty-five million, three hundred thirty-five thousand, eight hundred twenty-eight".

Divisors: 1 2 4 7 11 14 22 28 44 77 101 113 154 202 226 308 404 452 707 791 1111 1243 1414 1582 2222 2357 2486 2828 3164 4444 4714 4972 7777 8701 9428 11413 15554 16499 17402 22826 25927 31108 32998 34804 45652 51854 65996 79891 103708 125543 159782 181489 238057 251086 266341 319564 362978 476114 502172 532682 725956 878801 952228 1065364 1666399 1757602 1864387 2618627 2929751 3332798 3515204 3728774 5237254 5859502 6665596 7457548 10474508 11719004 18330389 20508257 26900441 36660778 41016514 53800882 73321556 82033028 107601764 188303087 295904851 376606174 591809702 753212348 1183619404 2071333957 4142667914 8285335828