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285308244 = 22351367337
BaseRepresentation
bin10001000000010…
…111010101010100
3201212212011100000
4101000113111110
51041014330434
644151051300
710033036314
oct2100272524
9655764300
10285308244
1113705a341
127b670b30
1347155860
1429c6b444
151a0aab99
hex11017554

285308244 has 144 divisors (see below), whose sum is σ = 819885248. Its totient is φ = 86220288.

The previous prime is 285308227. The next prime is 285308269. The reversal of 285308244 is 442803582.

285308244 is a `hidden beast` number, since 2 + 8 + 530 + 82 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 285308199 and 285308208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 846444 + ... + 846780.

Almost surely, 2285308244 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 285308244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409942624).

285308244 is an abundant number, since it is smaller than the sum of its proper divisors (534577004).

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

285308244 is a wasteful number, since it uses less digits than its factorization.

285308244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 285308244 is about 16891.0699483484. The cubic root of 285308244 is about 658.3216031808.

The spelling of 285308244 in words is "two hundred eighty-five million, three hundred eight thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 67 78 81 108 117 134 156 162 201 234 243 268 324 337 351 402 468 486 603 674 702 804 871 972 1011 1053 1206 1348 1404 1742 1809 2022 2106 2412 2613 3033 3159 3484 3618 4044 4212 4381 5226 5427 6066 6318 7236 7839 8762 9099 10452 10854 12132 12636 13143 15678 16281 17524 18198 21708 22579 23517 26286 27297 31356 32562 36396 39429 45158 47034 52572 54594 65124 67737 70551 78858 81891 90316 94068 109188 118287 135474 141102 157716 163782 203211 211653 236574 270948 282204 293527 327564 354861 406422 423306 473148 587054 609633 709722 812844 846612 880581 1064583 1174108 1219266 1419444 1761162 1828899 2129166 2438532 2641743 3522324 3657798 4258332 5283486 5486697 7315596 7925229 10566972 10973394 15850458 21946788 23775687 31700916 47551374 71327061 95102748 142654122 285308244