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286585068 = 2237112691153
BaseRepresentation
bin10001000101001…
…111000011101100
3201222021000210210
4101011033003230
51041331210233
644234302420
710046634660
oct2105170354
9658230723
10286585068
11137851670
127bb87a10
13474b1a83
142a0c08a0
151a25e163
hex1114f0ec

286585068 has 96 divisors (see below), whose sum is σ = 837527040. Its totient is φ = 74096640.

The previous prime is 286585043. The next prime is 286585081. The reversal of 286585068 is 860585682.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 247980 + ... + 249132.

It is an arithmetic number, because the mean of its divisors is an integer number (8724240).

Almost surely, 2286585068 is an apocalyptic number.

286585068 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 286585068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418763520).

286585068 is an abundant number, since it is smaller than the sum of its proper divisors (550941972).

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

286585068 is a wasteful number, since it uses less digits than its factorization.

286585068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1447 (or 1445 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 48.

The square root of 286585068 is about 16928.8235858254. The cubic root of 286585068 is about 659.3021917706.

The spelling of 286585068 in words is "two hundred eighty-six million, five hundred eighty-five thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 269 308 462 538 807 924 1076 1153 1614 1883 2306 2959 3228 3459 3766 4612 5649 5918 6918 7532 8071 8877 11298 11836 12683 13836 16142 17754 20713 22596 24213 25366 32284 35508 38049 41426 48426 50732 62139 76098 82852 88781 96852 124278 152196 177562 248556 266343 310157 355124 532686 620314 930471 1065372 1240628 1860942 2171099 3411727 3721884 4342198 6513297 6823454 8684396 10235181 13026594 13646908 20470362 23882089 26053188 40940724 47764178 71646267 95528356 143292534 286585068