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286904988 = 223217676997
BaseRepresentation
bin10001000110011…
…101001010011100
3201222212021122200
4101012131022130
51041421424423
644245211500
710052436456
oct2106351234
9658767580
10286904988
11137a4aa67
1280100b90
1347594586
142a1652d6
151a2c3d43
hex1119d29c

286904988 has 72 divisors (see below), whose sum is σ = 779465232. Its totient is φ = 88653312.

The previous prime is 286904977. The next prime is 286905001. The reversal of 286904988 is 889409682.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 37506 + ... + 44502.

It is an arithmetic number, because the mean of its divisors is an integer number (10825906).

Almost surely, 2286904988 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 286904988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389732616).

286904988 is an abundant number, since it is smaller than the sum of its proper divisors (492560244).

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

286904988 is a wasteful number, since it uses less digits than its factorization.

286904988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7091 (or 7086 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The square root of 286904988 is about 16938.2699234603. The cubic root of 286904988 is about 659.5474307861.

The spelling of 286904988 in words is "two hundred eighty-six million, nine hundred four thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 67 68 102 134 153 201 204 268 306 402 603 612 804 1139 1206 2278 2412 3417 4556 6834 6997 10251 13668 13994 20502 20991 27988 41004 41982 62973 83964 118949 125946 237898 251892 356847 468799 475796 713694 937598 1070541 1406397 1427388 1875196 2141082 2812794 4219191 4282164 5625588 7969583 8438382 15939166 16876764 23908749 31878332 47817498 71726247 95634996 143452494 286904988