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264896257 is a prime number
BaseRepresentation
bin11111100100111…
…11111100000001
3200110110010100111
433302133330001
51020303140012
642141351321
76364403203
oct1762377401
9613403314
10264896257
1112658852a
1274868541
1342b59a62
1427276773
15183c7ba7
hexfc9ff01

264896257 has 2 divisors, whose sum is σ = 264896258. Its totient is φ = 264896256.

The previous prime is 264896249. The next prime is 264896293. The reversal of 264896257 is 752698462.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 231070401 + 33825856 = 15201^2 + 5816^2 .

It is a cyclic number.

It is not a de Polignac number, because 264896257 - 23 = 264896249 is a prime.

It is a super-3 number, since 3×2648962573 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 264896257.

It is not a weakly prime, because it can be changed into another prime (264896557) 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, 132448128 + 132448129.

It is an arithmetic number, because the mean of its divisors is an integer number (132448129).

Almost surely, 2264896257 is an apocalyptic number.

It is an amenable number.

264896257 is a deficient number, since it is larger than the sum of its proper divisors (1).

264896257 is an equidigital number, since it uses as much as digits as its factorization.

264896257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1451520, while the sum is 49.

The square root of 264896257 is about 16275.6338432640. The cubic root of 264896257 is about 642.2319993361.

The spelling of 264896257 in words is "two hundred sixty-four million, eight hundred ninety-six thousand, two hundred fifty-seven".