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285307686 = 23219223283
BaseRepresentation
bin10001000000010…
…111001100100110
3201212212010120100
4101000113030212
51041014321221
644151044530
710033034556
oct2100271446
9655763510
10285307686
11137059984
127b670746
1347155521
1429c6b166
151a0aa926
hex11017326

285307686 has 108 divisors (see below), whose sum is σ = 690230268. Its totient is φ = 85141584.

The previous prime is 285307679. The next prime is 285307691. The reversal of 285307686 is 686703582.

285307686 is a `hidden beast` number, since 285 + 307 + 68 + 6 = 666.

285307686 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 53 ways as a sum of consecutive naturals, for example, 3437401 + ... + 3437483.

It is an arithmetic number, because the mean of its divisors is an integer number (6391021).

Almost surely, 2285307686 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 285307686, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345115134).

285307686 is an abundant number, since it is smaller than the sum of its proper divisors (404922582).

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

285307686 is a wasteful number, since it uses less digits than its factorization.

285307686 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 285307686 is about 16891.0534307366. The cubic root of 285307686 is about 658.3211740032.

The spelling of 285307686 in words is "two hundred eighty-five million, three hundred seven thousand, six hundred eighty-six".

Divisors: 1 2 3 6 9 18 19 23 38 46 57 69 83 114 138 166 171 207 249 342 361 414 437 498 529 722 747 874 1058 1083 1311 1494 1577 1587 1909 2166 2622 3154 3174 3249 3818 3933 4731 4761 5727 6498 7866 8303 9462 9522 10051 11454 14193 16606 17181 20102 24909 28386 29963 30153 34362 36271 43907 49818 59926 60306 72542 74727 87814 89889 90459 108813 131721 149454 179778 180918 190969 217626 263442 269667 326439 381938 395163 539334 572907 652878 689149 790326 834233 1145814 1378298 1668466 1718721 2067447 2502699 3437442 4134894 5005398 6202341 7508097 12404682 15016194 15850427 31700854 47551281 95102562 142653843 285307686