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249276961 is a prime number
BaseRepresentation
bin11101101101110…
…10101000100001
3122101001120201001
432312322220201
51002303330321
640422512001
76114550663
oct1666725041
9571046631
10249276961
1111878a51a
126b595601
133c84b57b
142516c533
1516d3ec91
hexedbaa21

249276961 has 2 divisors, whose sum is σ = 249276962. Its totient is φ = 249276960.

The previous prime is 249276959. The next prime is 249277003. The reversal of 249276961 is 169672942.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 229340736 + 19936225 = 15144^2 + 4465^2 .

It is a cyclic number.

It is not a de Polignac number, because 249276961 - 21 = 249276959 is a prime.

Together with 249276959, it forms a pair of twin primes.

It is a nialpdrome in base 16.

It is not a weakly prime, because it can be changed into another prime (249276061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 124638480 + 124638481.

It is an arithmetic number, because the mean of its divisors is an integer number (124638481).

Almost surely, 2249276961 is an apocalyptic number.

It is an amenable number.

249276961 is a deficient number, since it is larger than the sum of its proper divisors (1).

249276961 is an equidigital number, since it uses as much as digits as its factorization.

249276961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 326592, while the sum is 46.

The square root of 249276961 is about 15788.5072441951. The cubic root of 249276961 is about 629.3526238179.

The spelling of 249276961 in words is "two hundred forty-nine million, two hundred seventy-six thousand, nine hundred sixty-one".