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288248713 is a prime number
BaseRepresentation
bin10001001011100…
…101001110001001
3202002101112220021
4101023211032021
51042242424323
644334100441
710100034154
oct2113451611
9662345807
10288248713
11138788585
128064a721
134794508c
142a3d4c9b
151a48c05d
hex112e5389

288248713 has 2 divisors, whose sum is σ = 288248714. Its totient is φ = 288248712.

The previous prime is 288248707. The next prime is 288248743. The reversal of 288248713 is 317842882.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 207014544 + 81234169 = 14388^2 + 9013^2 .

It is a cyclic number.

It is not a de Polignac number, because 288248713 - 29 = 288248201 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 288248713.

It is not a weakly prime, because it can be changed into another prime (288248743) 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, 144124356 + 144124357.

It is an arithmetic number, because the mean of its divisors is an integer number (144124357).

Almost surely, 2288248713 is an apocalyptic number.

It is an amenable number.

288248713 is a deficient number, since it is larger than the sum of its proper divisors (1).

288248713 is an equidigital number, since it uses as much as digits as its factorization.

288248713 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 172032, while the sum is 43.

The square root of 288248713 is about 16977.8889441532. Note that the first 3 decimals coincide. The cubic root of 288248713 is about 660.5754951362.

It can be divided in two parts, 288 and 248713, that added together give a square (249001 = 4992).

The spelling of 288248713 in words is "two hundred eighty-eight million, two hundred forty-eight thousand, seven hundred thirteen".