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256746241 is a prime number
BaseRepresentation
bin11110100110110…
…10001100000001
3122220010001122001
433103122030001
51011211334431
641250544001
76235210213
oct1723321401
9586101561
10256746241
11121a21284
1271b98001
134126526b
14261545b3
1517817e61
hexf4da301

256746241 has 2 divisors, whose sum is σ = 256746242. Its totient is φ = 256746240.

The previous prime is 256746209. The next prime is 256746271. The reversal of 256746241 is 142647652.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 255872016 + 874225 = 15996^2 + 935^2 .

It is a cyclic number.

It is not a de Polignac number, because 256746241 - 25 = 256746209 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 256746241.

It is not a weakly prime, because it can be changed into another prime (256746271) 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, 128373120 + 128373121.

It is an arithmetic number, because the mean of its divisors is an integer number (128373121).

Almost surely, 2256746241 is an apocalyptic number.

It is an amenable number.

256746241 is a deficient number, since it is larger than the sum of its proper divisors (1).

256746241 is an equidigital number, since it uses as much as digits as its factorization.

256746241 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 80640, while the sum is 37.

The square root of 256746241 is about 16023.3030614789. The cubic root of 256746241 is about 635.5767929679.

The spelling of 256746241 in words is "two hundred fifty-six million, seven hundred forty-six thousand, two hundred forty-one".