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10042289 is a prime number
BaseRepresentation
bin100110010011…
…101110110001
3200220012102122
4212103232301
510032323124
6555124025
7151233545
oct46235661
920805378
1010042289
115739a14
123443615
132107baa
141495a25
15d3575e
hex993bb1

10042289 has 2 divisors, whose sum is σ = 10042290. Its totient is φ = 10042288.

The previous prime is 10042199. The next prime is 10042301. The reversal of 10042289 is 98224001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8025889 + 2016400 = 2833^2 + 1420^2 .

It is an emirp because it is prime and its reverse (98224001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10042289 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (10042489) 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, 5021144 + 5021145.

It is an arithmetic number, because the mean of its divisors is an integer number (5021145).

Almost surely, 210042289 is an apocalyptic number.

It is an amenable number.

10042289 is a deficient number, since it is larger than the sum of its proper divisors (1).

10042289 is an equidigital number, since it uses as much as digits as its factorization.

10042289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 10042289 is about 3168.9570839631. The cubic root of 10042289 is about 215.7467382011.

The spelling of 10042289 in words is "ten million, forty-two thousand, two hundred eighty-nine".