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256143825 = 3252733319
BaseRepresentation
bin11110100010001…
…11000111010001
3122211222110021100
433101013013101
51011033100300
641230015013
76230121000
oct1721070721
9584873240
10256143825
1112164a713
1271947469
13410b3cc2
1426038c37
1517749700
hexf4471d1

256143825 has 72 divisors (see below), whose sum is σ = 535184000. Its totient is φ = 117059040.

The previous prime is 256143817. The next prime is 256143827. The reversal of 256143825 is 528341652.

256143825 is a `hidden beast` number, since 2 + 5 + 614 + 38 + 2 + 5 = 666.

256143825 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 256143825 - 23 = 256143817 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 256143825.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256143827) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 75516 + ... + 78834.

Almost surely, 2256143825 is an apocalyptic number.

256143825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

256143825 is an abundant number, since it is smaller than the sum of its proper divisors (279040175).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

256143825 is a wasteful number, since it uses less digits than its factorization.

256143825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3356 (or 3334 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 256143825 is about 16004.4939001519. The cubic root of 256143825 is about 635.0793089195.

The spelling of 256143825 in words is "two hundred fifty-six million, one hundred forty-three thousand, eight hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 75 105 147 175 225 245 315 343 441 525 735 1029 1225 1575 1715 2205 3087 3319 3675 5145 8575 9957 11025 15435 16595 23233 25725 29871 49785 69699 77175 82975 116165 149355 162631 209097 248925 348495 487893 580825 746775 813155 1045485 1138417 1463679 1742475 2439465 3415251 4065775 5227425 5692085 7318395 10245753 12197325 17076255 28460425 36591975 51228765 85381275 256143825