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264785249 is a prime number
BaseRepresentation
bin11111100100001…
…00110101100001
3200110020111002002
433302010311201
51020241111444
642135133345
76363431441
oct1762046541
9613214062
10264785249
11126512093
1274814255
1342b1b381
1427248121
15183a4d4e
hexfc84d61

264785249 has 2 divisors, whose sum is σ = 264785250. Its totient is φ = 264785248.

The previous prime is 264785239. The next prime is 264785299. The reversal of 264785249 is 942587462.

264785249 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 249418849 + 15366400 = 15793^2 + 3920^2 .

It is a cyclic number.

It is not a de Polignac number, because 264785249 - 24 = 264785233 is a prime.

It is a super-2 number, since 2×2647852492 = 140222456175984002, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (264785219) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 132392624 + 132392625.

It is an arithmetic number, because the mean of its divisors is an integer number (132392625).

Almost surely, 2264785249 is an apocalyptic number.

It is an amenable number.

264785249 is a deficient number, since it is larger than the sum of its proper divisors (1).

264785249 is an equidigital number, since it uses as much as digits as its factorization.

264785249 is an evil number, because the sum of its binary digits is even.

The product of its digits is 967680, while the sum is 47.

The square root of 264785249 is about 16272.2232347027. The cubic root of 264785249 is about 642.1422750900.

The spelling of 264785249 in words is "two hundred sixty-four million, seven hundred eighty-five thousand, two hundred forty-nine".