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563288640 = 2635619619
BaseRepresentation
bin100001100100110…
…001101001000000
31110020221000202020
4201210301221000
52123200214030
6131521121440
716646605635
oct4144615100
91406830666
10563288640
11269a64102
12138789280
138c913bb5
1454b4c18c
15346ba510
hex21931a40

563288640 has 112 divisors (see below), whose sum is σ = 1817949120. Its totient is φ = 147732480.

The previous prime is 563288639. The next prime is 563288647. The reversal of 563288640 is 46882365.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 563288592 and 563288601.

It is not an unprimeable number, because it can be changed into a prime (563288647) 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, 53751 + ... + 63369.

Almost surely, 2563288640 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 563288640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908974560).

563288640 is an abundant number, since it is smaller than the sum of its proper divisors (1254660480).

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

563288640 is a wasteful number, since it uses less digits than its factorization.

563288640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9700 (or 9690 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 563288640 is about 23733.7026188498. The cubic root of 563288640 is about 825.8674145760.

The spelling of 563288640 in words is "five hundred sixty-three million, two hundred eighty-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 61 64 80 96 120 122 160 183 192 240 244 305 320 366 480 488 610 732 915 960 976 1220 1464 1830 1952 2440 2928 3660 3904 4880 5856 7320 9619 9760 11712 14640 19238 19520 28857 29280 38476 48095 57714 58560 76952 96190 115428 144285 153904 192380 230856 288570 307808 384760 461712 577140 586759 615616 769520 923424 1154280 1173518 1539040 1760277 1846848 2308560 2347036 2933795 3078080 3520554 4617120 4694072 5867590 7041108 8801385 9234240 9388144 11735180 14082216 17602770 18776288 23470360 28164432 35205540 37552576 46940720 56328864 70411080 93881440 112657728 140822160 187762880 281644320 563288640