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257414992 = 242412277
BaseRepresentation
bin11110101011111…
…01011101010000
3122221101000222121
433111331131100
51011344234432
641313144024
76243664012
oct1725753520
9587330877
10257414992
1112233876a
127225b014
134143a783
142628a1b2
15178eb197
hexf57d750

257414992 has 30 divisors (see below), whose sum is σ = 502627614. Its totient is φ = 127710720.

The previous prime is 257414987. The next prime is 257415019. The reversal of 257414992 is 299414752.

It can be written as a sum of positive squares in 3 ways, for example, as 54523456 + 202891536 = 7384^2 + 14244^2 .

It is a congruent number.

It is an unprimeable number.

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 in 5 ways as a sum of consecutive naturals, for example, 929158 + ... + 929434.

Almost surely, 2257414992 is an apocalyptic number.

It is an amenable number.

257414992 is a deficient number, since it is larger than the sum of its proper divisors (245212622).

257414992 is an equidigital number, since it uses as much as digits as its factorization.

257414992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 520 counting only the distinct ones).

The product of its digits is 181440, while the sum is 43.

The square root of 257414992 is about 16044.1575659179. The cubic root of 257414992 is about 636.1281468506.

The spelling of 257414992 in words is "two hundred fifty-seven million, four hundred fourteen thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 241 277 482 554 964 1108 1928 2216 3856 4432 58081 66757 116162 133514 232324 267028 464648 534056 929296 1068112 16088437 32176874 64353748 128707496 257414992