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563880512 = 26132379373
BaseRepresentation
bin100001100111000…
…010001001000000
31110022001002122102
4201213002021000
52123323134022
6131541525532
716654622336
oct4147021100
91408032572
10563880512
1126a328858
12138a138a8
138ca90410
1454c63b56
1534785a92
hex219c2240

563880512 has 112 divisors (see below), whose sum is σ = 1276746240. Its totient is φ = 245127168.

The previous prime is 563880511. The next prime is 563880533. The reversal of 563880512 is 215088365.

It is a super-2 number, since 2×5638805122 = 635922463626764288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (563880511) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1511558 + ... + 1511930.

It is an arithmetic number, because the mean of its divisors is an integer number (11399520).

Almost surely, 2563880512 is an apocalyptic number.

563880512 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 563880512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638373120).

563880512 is an abundant number, since it is smaller than the sum of its proper divisors (712865728).

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

563880512 is a wasteful number, since it uses less digits than its factorization.

563880512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 38.

The square root of 563880512 is about 23746.1683646015. The cubic root of 563880512 is about 826.1565716556.

The spelling of 563880512 in words is "five hundred sixty-three million, eight hundred eighty thousand, five hundred twelve".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 79 92 104 158 184 208 299 316 368 373 416 598 632 736 746 832 1027 1196 1264 1472 1492 1817 2054 2392 2528 2984 3634 4108 4784 4849 5056 5968 7268 8216 8579 9568 9698 11936 14536 16432 17158 19136 19396 23621 23872 29072 29467 32864 34316 38792 47242 58144 58934 65728 68632 77584 94484 111527 116288 117868 137264 155168 188968 223054 235736 274528 310336 377936 383071 446108 471472 549056 677741 755872 766142 892216 942944 1355482 1511744 1532284 1784432 1885888 2710964 3064568 3568864 5421928 6129136 7137728 8810633 10843856 12258272 17621266 21687712 24516544 35242532 43375424 70485064 140970128 281940256 563880512