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249120689 is a prime number
BaseRepresentation
bin11101101100101…
…00011110110001
3122100202122100012
432312110132301
51002233330224
640415304305
76113330246
oct1666243661
9570678305
10249120689
11118693074
126b51b095
133c7c53bc
142512b5cd
1516d0d80e
hexed947b1

249120689 has 2 divisors, whose sum is σ = 249120690. Its totient is φ = 249120688.

The previous prime is 249120671. The next prime is 249120709. The reversal of 249120689 is 986021942.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 206870689 + 42250000 = 14383^2 + 6500^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-249120689 is a prime.

It is a super-2 number, since 2×2491206892 = 124122235375669442, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (249120649) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 124560344 + 124560345.

It is an arithmetic number, because the mean of its divisors is an integer number (124560345).

Almost surely, 2249120689 is an apocalyptic number.

It is an amenable number.

249120689 is a deficient number, since it is larger than the sum of its proper divisors (1).

249120689 is an equidigital number, since it uses as much as digits as its factorization.

249120689 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 62208, while the sum is 41.

The square root of 249120689 is about 15783.5575520857. The cubic root of 249120689 is about 629.2210823765.

The spelling of 249120689 in words is "two hundred forty-nine million, one hundred twenty thousand, six hundred eighty-nine".