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287666313 = 31123379007
BaseRepresentation
bin10001001001010…
…111000010001001
3202001021221222220
4101021113002021
51042120310223
644313404253
710062060204
oct2111270211
9661257886
10287666313
1113841aa60
1280409689
134779cc6c
142a2c293b
151a3c46e3
hex11257089

287666313 has 16 divisors (see below), whose sum is σ = 436617216. Its totient is φ = 166762640.

The previous prime is 287666311. The next prime is 287666363. The reversal of 287666313 is 313666782.

It is not a de Polignac number, because 287666313 - 21 = 287666311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (287666311) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 188745 + ... + 190262.

It is an arithmetic number, because the mean of its divisors is an integer number (27288576).

Almost surely, 2287666313 is an apocalyptic number.

287666313 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

287666313 is a deficient number, since it is larger than the sum of its proper divisors (148950903).

287666313 is a wasteful number, since it uses less digits than its factorization.

287666313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379044.

The product of its digits is 217728, while the sum is 42.

The square root of 287666313 is about 16960.7285515688. The cubic root of 287666313 is about 660.1303025557.

The spelling of 287666313 in words is "two hundred eighty-seven million, six hundred sixty-six thousand, three hundred thirteen".

Divisors: 1 3 11 23 33 69 253 759 379007 1137021 4169077 8717161 12507231 26151483 95888771 287666313