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526425642 = 234113149193
BaseRepresentation
bin11111011000001…
…001111000101010
31100200120012020000
4133120021320222
52034231110032
6124123043430
716021354431
oct3730117052
91320505200
10526425642
11250176416
12128370576
13850a8182
144dcb4118
1531337e7c
hex1f609e2a

526425642 has 80 divisors (see below), whose sum is σ = 1204216200. Its totient is φ = 171859968.

The previous prime is 526425629. The next prime is 526425643. The reversal of 526425642 is 246524625.

526425642 is a `hidden beast` number, since 5 + 2 + 6 + 4 + 2 + 5 + 642 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 120362841 + 406062801 = 10971^2 + 20151^2 .

It is a super-2 number, since 2×5264256422 = 554247913110224328, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 526425597 and 526425606.

It is not an unprimeable number, because it can be changed into a prime (526425643) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2727498 + ... + 2727690.

Almost surely, 2526425642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 526425642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602108100).

526425642 is an abundant number, since it is smaller than the sum of its proper divisors (677790558).

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

526425642 is a wasteful number, since it uses less digits than its factorization.

526425642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 460 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The square root of 526425642 is about 22943.9674424455. The cubic root of 526425642 is about 807.4438762605.

The spelling of 526425642 in words is "five hundred twenty-six million, four hundred twenty-five thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 113 149 162 193 226 298 339 386 447 579 678 894 1017 1158 1341 1737 2034 2682 3051 3474 4023 5211 6102 8046 9153 10422 12069 15633 16837 18306 21809 24138 28757 31266 33674 43618 50511 57514 65427 86271 101022 130854 151533 172542 196281 258813 303066 392562 454599 517626 588843 776439 909198 1177686 1363797 1552878 1766529 2329317 2727594 3249541 3533058 4658634 6499082 9748623 19497246 29245869 58491738 87737607 175475214 263212821 526425642