Search a number
-
+
257434481 is a prime number
BaseRepresentation
bin11110101100000…
…10001101110001
3122221102000201102
433112002031301
51011400400411
641313414145
76244104563
oct1726021561
9587360642
10257434481
11122351377
127226a355
13414465c5
1426293333
1517901d3b
hexf582371

257434481 has 2 divisors, whose sum is σ = 257434482. Its totient is φ = 257434480.

The previous prime is 257434459. The next prime is 257434487. The reversal of 257434481 is 184434752.

257434481 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 257281600 + 152881 = 16040^2 + 391^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-257434481 is a prime.

It is a super-2 number, since 2×2574344812 = 132545024015478722, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (257434487) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128717240 + 128717241.

It is an arithmetic number, because the mean of its divisors is an integer number (128717241).

Almost surely, 2257434481 is an apocalyptic number.

It is an amenable number.

257434481 is a deficient number, since it is larger than the sum of its proper divisors (1).

257434481 is an equidigital number, since it uses as much as digits as its factorization.

257434481 is an evil number, because the sum of its binary digits is even.

The product of its digits is 107520, while the sum is 38.

The square root of 257434481 is about 16044.7649094650. The cubic root of 257434481 is about 636.1442002909.

The spelling of 257434481 in words is "two hundred fifty-seven million, four hundred thirty-four thousand, four hundred eighty-one".