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286540801 is a prime number
BaseRepresentation
bin10001000101000…
…100010000000001
3201222011210002021
4101011010100001
51041323301201
644233321441
710046361631
oct2105042001
9658153067
10286540801
11137821388
127bb66281
1347497891
142a0ac6c1
151a250ea1
hex11144401

286540801 has 2 divisors, whose sum is σ = 286540802. Its totient is φ = 286540800.

The previous prime is 286540799. The next prime is 286540819. The reversal of 286540801 is 108045682.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 286421776 + 119025 = 16924^2 + 345^2 .

It is a cyclic number.

It is not a de Polignac number, because 286540801 - 21 = 286540799 is a prime.

Together with 286540799, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (286540861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 143270400 + 143270401.

It is an arithmetic number, because the mean of its divisors is an integer number (143270401).

Almost surely, 2286540801 is an apocalyptic number.

It is an amenable number.

286540801 is a deficient number, since it is larger than the sum of its proper divisors (1).

286540801 is an equidigital number, since it uses as much as digits as its factorization.

286540801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15360, while the sum is 34.

The square root of 286540801 is about 16927.5160906732. The cubic root of 286540801 is about 659.2682439297.

The spelling of 286540801 in words is "two hundred eighty-six million, five hundred forty thousand, eight hundred one".