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249561349 is a prime number
BaseRepresentation
bin11101110000000…
…00000100000101
3122101121000210221
432320000010011
51002341430344
640432544341
76120144052
oct1670000405
9571530727
10249561349
11118964154
126b6b20b1
133c91ab4b
1425204029
1516d99184
hexee00105

249561349 has 2 divisors, whose sum is σ = 249561350. Its totient is φ = 249561348.

The previous prime is 249561311. The next prime is 249561401. The reversal of 249561349 is 943165942.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 201356100 + 48205249 = 14190^2 + 6943^2 .

It is a cyclic number.

It is not a de Polignac number, because 249561349 - 29 = 249560837 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (249561049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 124780674 + 124780675.

It is an arithmetic number, because the mean of its divisors is an integer number (124780675).

Almost surely, 2249561349 is an apocalyptic number.

It is an amenable number.

249561349 is a deficient number, since it is larger than the sum of its proper divisors (1).

249561349 is an equidigital number, since it uses as much as digits as its factorization.

249561349 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 233280, while the sum is 43.

The square root of 249561349 is about 15797.5108482318. The cubic root of 249561349 is about 629.5918654939.

The spelling of 249561349 in words is "two hundred forty-nine million, five hundred sixty-one thousand, three hundred forty-nine".