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249072913 is a prime number
BaseRepresentation
bin11101101100010…
…00110100010001
3122100200012210201
432312020310101
51002230313123
640414255201
76113041045
oct1666106421
9570605721
10249072913
11118660191
126b4b7501
133c7a972b
1425118025
1516cee5ad
hexed88d11

249072913 has 2 divisors, whose sum is σ = 249072914. Its totient is φ = 249072912.

The previous prime is 249072853. The next prime is 249072959. The reversal of 249072913 is 319270942.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 230341329 + 18731584 = 15177^2 + 4328^2 .

It is a cyclic number.

It is not a de Polignac number, because 249072913 - 213 = 249064721 is a prime.

It is not a weakly prime, because it can be changed into another prime (249072973) 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, 124536456 + 124536457.

It is an arithmetic number, because the mean of its divisors is an integer number (124536457).

Almost surely, 2249072913 is an apocalyptic number.

It is an amenable number.

249072913 is a deficient number, since it is larger than the sum of its proper divisors (1).

249072913 is an equidigital number, since it uses as much as digits as its factorization.

249072913 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27216, while the sum is 37.

The square root of 249072913 is about 15782.0440057681. The cubic root of 249072913 is about 629.1808561064.

The spelling of 249072913 in words is "two hundred forty-nine million, seventy-two thousand, nine hundred thirteen".