Search a number
-
+
257443919 is a prime number
BaseRepresentation
bin11110101100001…
…00100001001111
3122221102111122222
433112010201033
51011401201134
641313525555
76244144235
oct1726044117
9587374588
10257443919
11122358477
12722738bb
134144a9a5
1426296955
1517904a2e
hexf58484f

257443919 has 2 divisors, whose sum is σ = 257443920. Its totient is φ = 257443918.

The previous prime is 257443913. The next prime is 257443931. The reversal of 257443919 is 919344752.

257443919 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 is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-257443919 is a prime.

It is a super-2 number, since 2×2574439192 = 132554742860157122, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 257443919.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257443913) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128721959 + 128721960.

It is an arithmetic number, because the mean of its divisors is an integer number (128721960).

Almost surely, 2257443919 is an apocalyptic number.

257443919 is a deficient number, since it is larger than the sum of its proper divisors (1).

257443919 is an equidigital number, since it uses as much as digits as its factorization.

257443919 is an evil number, because the sum of its binary digits is even.

The product of its digits is 272160, while the sum is 44.

The square root of 257443919 is about 16045.0590213935. The cubic root of 257443919 is about 636.1519742503.

The spelling of 257443919 in words is "two hundred fifty-seven million, four hundred forty-three thousand, nine hundred nineteen".