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257264257 = 318298847
BaseRepresentation
bin11110101010110…
…00101010000001
3122221002101012211
433111120222001
51011324424012
641310022121
76242465365
oct1725305201
9587071184
10257264257
11122245498
12721a7941
13413b6c93
142624b2a5
15178bb6a7
hexf558a81

257264257 has 4 divisors (see below), whose sum is σ = 265563136. Its totient is φ = 248965380.

The previous prime is 257264239. The next prime is 257264261. The reversal of 257264257 is 752462752.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-257264257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257264297) 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 in 3 ways as a sum of consecutive naturals, for example, 4149393 + ... + 4149454.

It is an arithmetic number, because the mean of its divisors is an integer number (66390784).

Almost surely, 2257264257 is an apocalyptic number.

It is an amenable number.

257264257 is a deficient number, since it is larger than the sum of its proper divisors (8298879).

257264257 is an equidigital number, since it uses as much as digits as its factorization.

257264257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8298878.

The product of its digits is 235200, while the sum is 40.

The square root of 257264257 is about 16039.4593736821. The cubic root of 257264257 is about 636.0039563392.

The spelling of 257264257 in words is "two hundred fifty-seven million, two hundred sixty-four thousand, two hundred fifty-seven".

Divisors: 1 31 8298847 257264257