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257472341 = 7711393727
BaseRepresentation
bin11110101100010…
…11011101010101
3122221110221122122
433112023131111
51011403103331
641314305325
76244323140
oct1726133525
9587427578
10257472341
11122377865
1272288245
134145a8c9
14262a3057
151790d17b
hexf58b755

257472341 has 16 divisors (see below), whose sum is σ = 300625920. Its totient is φ = 215958960.

The previous prime is 257472317. The next prime is 257472343. The reversal of 257472341 is 143274752.

It is not a de Polignac number, because 257472341 - 218 = 257210197 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257472343) 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 in 15 ways as a sum of consecutive naturals, for example, 67220 + ... + 70946.

It is an arithmetic number, because the mean of its divisors is an integer number (18789120).

Almost surely, 2257472341 is an apocalyptic number.

It is an amenable number.

257472341 is a deficient number, since it is larger than the sum of its proper divisors (43153579).

257472341 is a wasteful number, since it uses less digits than its factorization.

257472341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3944.

The product of its digits is 47040, while the sum is 35.

The square root of 257472341 is about 16045.9446901702. The cubic root of 257472341 is about 636.1753839390.

The spelling of 257472341 in words is "two hundred fifty-seven million, four hundred seventy-two thousand, three hundred forty-one".

Divisors: 1 7 71 139 497 973 3727 9869 26089 69083 264617 518053 1852319 3626371 36781763 257472341