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249968249 is a prime number
BaseRepresentation
bin11101110011000…
…11011001111001
3122102100200222022
432321203121321
51002442440444
640445404225
76123460256
oct1671433171
9572320868
10249968249
11119111933
126b869675
133ca3110b
14252ac42d
1516e299ee
hexee63679

249968249 has 2 divisors, whose sum is σ = 249968250. Its totient is φ = 249968248.

The previous prime is 249968227. The next prime is 249968261. The reversal of 249968249 is 942869942.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 196897024 + 53071225 = 14032^2 + 7285^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-249968249 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 249968249.

It is not a weakly prime, because it can be changed into another prime (249968749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 124984124 + 124984125.

It is an arithmetic number, because the mean of its divisors is an integer number (124984125).

Almost surely, 2249968249 is an apocalyptic number.

It is an amenable number.

249968249 is a deficient number, since it is larger than the sum of its proper divisors (1).

249968249 is an equidigital number, since it uses as much as digits as its factorization.

249968249 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2239488, while the sum is 53.

The square root of 249968249 is about 15810.3842141802. The cubic root of 249968249 is about 629.9338546495.

The spelling of 249968249 in words is "two hundred forty-nine million, nine hundred sixty-eight thousand, two hundred forty-nine".