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425057256 = 2332131726713
BaseRepresentation
bin11001010101011…
…101101111101000
31002121211010221100
4121111131233220
51332303313011
6110102241400
713350632661
oct3125355750
91077733840
10425057256
111a8a2a898
12ba426260
136a0a5890
1440648368
15274b2d56
hex1955dbe8

425057256 has 96 divisors (see below), whose sum is σ = 1312725960. Its totient is φ = 123088896.

The previous prime is 425057249. The next prime is 425057287. The reversal of 425057256 is 652750524.

It can be written as a sum of positive squares in 4 ways, for example, as 418857156 + 6200100 = 20466^2 + 2490^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 425057256.

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 23 ways as a sum of consecutive naturals, for example, 2556 + ... + 29268.

Almost surely, 2425057256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 425057256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656362980).

425057256 is an abundant number, since it is smaller than the sum of its proper divisors (887668704).

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

425057256 is a wasteful number, since it uses less digits than its factorization.

425057256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26755 (or 26748 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 425057256 is about 20616.9167432960. The cubic root of 425057256 is about 751.8810595424.

The spelling of 425057256 in words is "four hundred twenty-five million, fifty-seven thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 17 18 24 26 34 36 39 51 52 68 72 78 102 104 117 136 153 156 204 221 234 306 312 408 442 468 612 663 884 936 1224 1326 1768 1989 2652 3978 5304 7956 15912 26713 53426 80139 106852 160278 213704 240417 320556 347269 454121 480834 641112 694538 908242 961668 1041807 1362363 1389076 1816484 1923336 2083614 2724726 2778152 3125421 3632968 4087089 4167228 5449452 5903573 6250842 8174178 8334456 10898904 11807146 12501684 16348356 17710719 23614292 25003368 32696712 35421438 47228584 53132157 70842876 106264314 141685752 212528628 425057256