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5304526524 = 223211172334259
BaseRepresentation
bin1001111000010110…
…01010011010111100
3111200200101212102100
410330023022122330
541330424322044
62234210225100
7245310505623
oct47413123274
914620355370
105304526524
1122822a3320
121040585190
13666c82abb
143846d26ba
15210a5b869
hex13c2ca6bc

5304526524 has 144 divisors (see below), whose sum is σ = 16161949440. Its totient is φ = 1447057920.

The previous prime is 5304526523. The next prime is 5304526537. The reversal of 5304526524 is 4256254035.

5304526524 is a `hidden beast` number, since 530 + 45 + 2 + 65 + 24 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5304526523) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 137707 + ... + 171965.

It is an arithmetic number, because the mean of its divisors is an integer number (112235760).

Almost surely, 25304526524 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 5304526524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8080974720).

5304526524 is an abundant number, since it is smaller than the sum of its proper divisors (10857422916).

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

5304526524 is a wasteful number, since it uses less digits than its factorization.

5304526524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34320 (or 34315 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The square root of 5304526524 is about 72832.1805522806. The cubic root of 5304526524 is about 1744.0096157025.

The spelling of 5304526524 in words is "five billion, three hundred four million, five hundred twenty-six thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 23 33 34 36 44 46 51 66 68 69 92 99 102 132 138 153 187 198 204 207 253 276 306 374 391 396 414 506 561 612 748 759 782 828 1012 1122 1173 1518 1564 1683 2244 2277 2346 3036 3366 3519 4301 4554 4692 6732 7038 8602 9108 12903 14076 17204 25806 34259 38709 51612 68518 77418 102777 137036 154836 205554 308331 376849 411108 582403 616662 753698 787957 1130547 1164806 1233324 1507396 1575914 1747209 2261094 2329612 2363871 3151828 3391641 3494418 4522188 4727742 5241627 6406433 6783282 6988836 7091613 8667527 9455484 10483254 12812866 13395269 13566564 14183226 17335054 19219299 20966508 25625732 26002581 26790538 28366452 34670108 38438598 40185807 52005162 53581076 57657897 76877196 78007743 80371614 104010324 115315794 120557421 147347959 156015486 160743228 230631588 241114842 294695918 312030972 442043877 482229684 589391836 884087754 1326131631 1768175508 2652263262 5304526524