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264538409 is a prime number
BaseRepresentation
bin11111100010010…
…00100100101001
3200102202221110212
433301020210221
51020210212114
642125550505
76361353002
oct1761104451
9612687425
10264538409
11126363693
1274715435
1342a62c05
14271c21a9
1518356b3e
hexfc48929

264538409 has 2 divisors, whose sum is σ = 264538410. Its totient is φ = 264538408.

The previous prime is 264538397. The next prime is 264538429. The reversal of 264538409 is 904835462.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 226592809 + 37945600 = 15053^2 + 6160^2 .

It is a cyclic number.

It is not a de Polignac number, because 264538409 - 212 = 264534313 is a prime.

It is a Chen prime.

It is equal to p14429993 and since 264538409 and 14429993 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (264538429) 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, 132269204 + 132269205.

It is an arithmetic number, because the mean of its divisors is an integer number (132269205).

Almost surely, 2264538409 is an apocalyptic number.

It is an amenable number.

264538409 is a deficient number, since it is larger than the sum of its proper divisors (1).

264538409 is an equidigital number, since it uses as much as digits as its factorization.

264538409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 207360, while the sum is 41.

The square root of 264538409 is about 16264.6367620061. The cubic root of 264538409 is about 641.9426722295.

The spelling of 264538409 in words is "two hundred sixty-four million, five hundred thirty-eight thousand, four hundred nine".