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285484896 = 25323773367
BaseRepresentation
bin10001000001000…
…010011101100000
3201220012010122200
4101001002131200
51041041004041
644154533200
710034403324
oct2101023540
9656163580
10285484896
11137170034
127b737200
13471b8098
1429cb5984
151a0e31b6
hex11042760

285484896 has 144 divisors (see below), whose sum is σ = 847514304. Its totient is φ = 91072512.

The previous prime is 285484889. The next prime is 285484919. The reversal of 285484896 is 698484582.

285484896 is a `hidden beast` number, since 2 + 8 + 548 + 4 + 8 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 777705 + ... + 778071.

It is an arithmetic number, because the mean of its divisors is an integer number (5885516).

Almost surely, 2285484896 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 285484896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423757152).

285484896 is an abundant number, since it is smaller than the sum of its proper divisors (562029408).

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

285484896 is a wasteful number, since it uses less digits than its factorization.

285484896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 482 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 54.

The square root of 285484896 is about 16896.2982928214. The cubic root of 285484896 is about 658.4574443712.

The spelling of 285484896 in words is "two hundred eighty-five million, four hundred eighty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 72 73 74 96 111 144 146 148 219 222 288 292 296 333 367 438 444 584 592 657 666 734 876 888 1101 1168 1184 1314 1332 1468 1752 1776 2202 2336 2628 2664 2701 2936 3303 3504 3552 4404 5256 5328 5402 5872 6606 7008 8103 8808 10512 10656 10804 11744 13212 13579 16206 17616 21024 21608 24309 26424 26791 27158 32412 35232 40737 43216 48618 52848 53582 54316 64824 80373 81474 86432 97236 105696 107164 108632 122211 129648 160746 162948 194472 214328 217264 241119 244422 259296 321492 325896 388944 428656 434528 482238 488844 642984 651792 777888 857312 964476 977688 991267 1285968 1303584 1928952 1955376 1982534 2571936 2973801 3857904 3910752 3965068 5947602 7715808 7930136 8921403 11895204 15860272 17842806 23790408 31720544 35685612 47580816 71371224 95161632 142742448 285484896