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523024056 = 2332711011013
BaseRepresentation
bin11111001011001…
…011011010111000
31100110011101010100
4133023023122320
52032343232211
6123522115400
715650426322
oct3713133270
91313141110
10523024056
11249262795
121271abb60
1384486ab9
144d66a612
1530db5156
hex1f2cb6b8

523024056 has 96 divisors (see below), whose sum is σ = 1452129120. Its totient is φ = 170016000.

The previous prime is 523024027. The next prime is 523024063. The reversal of 523024056 is 650420325.

It is a super-2 number, since 2×5230240562 = 547108326309382272, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 515806 + ... + 516818.

It is an arithmetic number, because the mean of its divisors is an integer number (15126345).

Almost surely, 2523024056 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 523024056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726064560).

523024056 is an abundant number, since it is smaller than the sum of its proper divisors (929105064).

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

523024056 is a wasteful number, since it uses less digits than its factorization.

523024056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197 (or 1190 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 523024056 is about 22869.7191937286. The cubic root of 523024056 is about 805.7009729633.

The spelling of 523024056 in words is "five hundred twenty-three million, twenty-four thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 71 72 101 142 202 213 284 303 404 426 568 606 639 808 852 909 1013 1212 1278 1704 1818 2026 2424 2556 3039 3636 4052 5112 6078 7171 7272 8104 9117 12156 14342 18234 21513 24312 28684 36468 43026 57368 64539 71923 72936 86052 102313 129078 143846 172104 204626 215769 258156 287692 306939 409252 431538 516312 575384 613878 647307 818504 863076 920817 1227756 1294614 1726152 1841634 2455512 2589228 3683268 5178456 7264223 7366536 14528446 21792669 29056892 43585338 58113784 65378007 87170676 130756014 174341352 261512028 523024056