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257385743 is a prime number
BaseRepresentation
bin11110101011101…
…10010100001111
3122221022112212022
433111312110033
51011342320433
641312400355
76243512516
oct1725662417
9587275768
10257385743
1112231879a
12722460bb
134142a374
142627d67d
15178e2698
hexf57650f

257385743 has 2 divisors, whose sum is σ = 257385744. Its totient is φ = 257385742.

The previous prime is 257385731. The next prime is 257385781. The reversal of 257385743 is 347583752.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 257385743 - 212 = 257381647 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 257385694 and 257385703.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257381743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128692871 + 128692872.

It is an arithmetic number, because the mean of its divisors is an integer number (128692872).

Almost surely, 2257385743 is an apocalyptic number.

257385743 is a deficient number, since it is larger than the sum of its proper divisors (1).

257385743 is an equidigital number, since it uses as much as digits as its factorization.

257385743 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 705600, while the sum is 44.

The square root of 257385743 is about 16043.2460244179. The cubic root of 257385743 is about 636.1040524020.

The spelling of 257385743 in words is "two hundred fifty-seven million, three hundred eighty-five thousand, seven hundred forty-three".