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520521568 = 25719241157
BaseRepresentation
bin11111000001101…
…000011101100000
31100021110020100121
4133001220131200
52031223142233
6123352330024
715620234410
oct3701503540
91307406317
10520521568
11247903616
121263a3914
1383abba38
144d1b8640
1530a6d92d
hex1f068760

520521568 has 144 divisors (see below), whose sum is σ = 1274271264. Its totient is φ = 204871680.

The previous prime is 520521559. The next prime is 520521571. The reversal of 520521568 is 865125025.

520521568 is nontrivially palindromic in base 13.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3315346 + ... + 3315502.

It is an arithmetic number, because the mean of its divisors is an integer number (8849106).

Almost surely, 2520521568 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 520521568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637135632).

520521568 is an abundant number, since it is smaller than the sum of its proper divisors (753749696).

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

520521568 is a wasteful number, since it uses less digits than its factorization.

520521568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 34.

The square root of 520521568 is about 22814.9417706905. The cubic root of 520521568 is about 804.4139185316.

The spelling of 520521568 in words is "five hundred twenty million, five hundred twenty-one thousand, five hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 41 56 76 82 112 133 152 157 164 224 266 287 304 314 328 361 532 574 608 628 656 722 779 1064 1099 1148 1256 1312 1444 1558 2128 2198 2296 2512 2527 2888 2983 3116 4256 4396 4592 5024 5054 5453 5776 5966 6232 6437 8792 9184 10108 10906 11552 11932 12464 12874 14801 17584 20216 20881 21812 23864 24928 25748 29602 35168 40432 41762 43624 45059 47728 51496 56677 59204 80864 83524 87248 90118 95456 102992 103607 113354 118408 122303 167048 174496 180236 205984 207214 226708 236816 244606 334096 360472 396739 414428 453416 473632 489212 668192 720944 793478 828856 856121 906832 978424 1441888 1586956 1657712 1712242 1813664 1956848 2323757 3173912 3315424 3424484 3913696 4647514 6347824 6848968 9295028 12695648 13697936 16266299 18590056 27395872 32532598 37180112 65065196 74360224 130130392 260260784 520521568