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522080328 = 2337111914869
BaseRepresentation
bin11111000111100…
…101000001001000
31100101101102120110
4133013211001020
52032123032303
6123445554320
715636416040
oct3707450110
91311342513
10522080328
11248778750
12126a159a0
1384216393
144d4a2720
1530c7a703
hex1f1e5048

522080328 has 128 divisors (see below), whose sum is σ = 1713024000. Its totient is φ = 128459520.

The previous prime is 522080303. The next prime is 522080357. The reversal of 522080328 is 823080225.

It is a junction number, because it is equal to n+sod(n) for n = 522080295 and 522080304.

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 31 ways as a sum of consecutive naturals, for example, 27678 + ... + 42546.

It is an arithmetic number, because the mean of its divisors is an integer number (13383000).

Almost surely, 2522080328 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 522080328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856512000).

522080328 is an abundant number, since it is smaller than the sum of its proper divisors (1190943672).

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

522080328 is a wasteful number, since it uses less digits than its factorization.

522080328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14915 (or 14911 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 522080328 is about 22849.0771804902. The cubic root of 522080328 is about 805.2160874577.

The spelling of 522080328 in words is "five hundred twenty-two million, eighty thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 19 21 22 24 28 33 38 42 44 56 57 66 76 77 84 88 114 132 133 152 154 168 209 228 231 264 266 308 399 418 456 462 532 616 627 798 836 924 1064 1254 1463 1596 1672 1848 2508 2926 3192 4389 5016 5852 8778 11704 14869 17556 29738 35112 44607 59476 89214 104083 118952 163559 178428 208166 282511 312249 327118 356856 416332 490677 565022 624498 654236 832664 847533 981354 1130044 1144913 1248996 1308472 1695066 1962708 1977577 2260088 2289826 2497992 3107621 3390132 3434739 3925416 3955154 4579652 5932731 6215242 6780264 6869478 7910308 9159304 9322863 11865462 12430484 13738956 15820616 18645726 21753347 23730924 24860968 27477912 37291452 43506694 47461848 65260041 74582904 87013388 130520082 174026776 261040164 522080328