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256141125 = 32531759227
BaseRepresentation
bin11110100010001…
…10011101000101
3122211222022120100
433101012131011
51011033004000
641225554313
76230110062
oct1721063505
9584868510
10256141125
11121648689
1271945999
13410b29c6
1426037c69
1517748a00
hexf446745

256141125 has 96 divisors (see below), whose sum is σ = 499374720. Its totient is φ = 125836800.

The previous prime is 256141111. The next prime is 256141157. The reversal of 256141125 is 521141652.

256141125 is a `hidden beast` number, since 25 + 614 + 1 + 1 + 25 = 666.

256141125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 256141125 - 29 = 256140613 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1128262 + ... + 1128488.

It is an arithmetic number, because the mean of its divisors is an integer number (5201820).

Almost surely, 2256141125 is an apocalyptic number.

256141125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

256141125 is a deficient number, since it is larger than the sum of its proper divisors (243233595).

256141125 is a wasteful number, since it uses less digits than its factorization.

256141125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 311 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 256141125 is about 16004.4095486213. The cubic root of 256141125 is about 635.0770774647.

Adding to 256141125 its reverse (521141652), we get a palindrome (777282777).

The spelling of 256141125 in words is "two hundred fifty-six million, one hundred forty-one thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 45 51 59 75 85 125 153 177 225 227 255 295 375 425 531 681 765 885 1003 1125 1135 1275 1475 2043 2125 2655 3009 3405 3825 3859 4425 5015 5675 6375 7375 9027 10215 11577 13275 13393 15045 17025 19125 19295 22125 25075 28375 34731 40179 45135 51075 57885 66375 66965 75225 85125 96475 120537 125375 173655 200895 225675 227681 255375 289425 334825 376125 482375 602685 683043 868275 1004475 1128375 1138405 1447125 1674125 2049129 3013425 3415215 4341375 5022375 5692025 10245645 15067125 17076075 28460125 51228225 85380375 256141125