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287612641 is a prime number
BaseRepresentation
bin10001001001001…
…001111011100001
3202001012020101001
4101021021323201
51042112101031
644312312001
710061444551
oct2111117341
9661166331
10287612641
111383936a8
12803a2601
13477816c4
142a2ab161
151a3b3861
hex11249ee1

287612641 has 2 divisors, whose sum is σ = 287612642. Its totient is φ = 287612640.

The previous prime is 287612639. The next prime is 287612687. The reversal of 287612641 is 146216782.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 266636241 + 20976400 = 16329^2 + 4580^2 .

It is a cyclic number.

It is not a de Polignac number, because 287612641 - 21 = 287612639 is a prime.

Together with 287612639, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 287612641.

It is not a weakly prime, because it can be changed into another prime (287672641) by changing a digit.

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 as a sum of consecutive naturals, namely, 143806320 + 143806321.

It is an arithmetic number, because the mean of its divisors is an integer number (143806321).

Almost surely, 2287612641 is an apocalyptic number.

It is an amenable number.

287612641 is a deficient number, since it is larger than the sum of its proper divisors (1).

287612641 is an equidigital number, since it uses as much as digits as its factorization.

287612641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 32256, while the sum is 37.

The square root of 287612641 is about 16959.1462344070. The cubic root of 287612641 is about 660.0892448954.

The spelling of 287612641 in words is "two hundred eighty-seven million, six hundred twelve thousand, six hundred forty-one".