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563345888 = 2573122617
BaseRepresentation
bin100001100100111…
…111100111100000
31110021000221021112
4201210333213200
52123204032023
6131522242452
716650234560
oct4144774740
91407027245
10563345888
11269aa3116
121387b6428
138c933c81
1454b64da0
15346cc478
hex2193f9e0

563345888 has 72 divisors (see below), whose sum is σ = 1310235696. Its totient is φ = 233556480.

The previous prime is 563345873. The next prime is 563345897. The reversal of 563345888 is 888543365.

563345888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 213956 + ... + 216572.

It is an arithmetic number, because the mean of its divisors is an integer number (18197718).

Almost surely, 2563345888 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 563345888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655117848).

563345888 is an abundant number, since it is smaller than the sum of its proper divisors (746889808).

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

563345888 is a wasteful number, since it uses less digits than its factorization.

563345888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2696 (or 2657 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 50.

The square root of 563345888 is about 23734.9086368581. The cubic root of 563345888 is about 825.8953917401.

The spelling of 563345888 in words is "five hundred sixty-three million, three hundred forty-five thousand, eight hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 217 224 248 434 496 868 961 992 1736 1922 2617 3472 3844 5234 6727 6944 7688 10468 13454 15376 18319 20936 26908 30752 36638 41872 53816 73276 81127 83744 107632 146552 162254 215264 293104 324508 567889 586208 649016 1135778 1298032 2271556 2514937 2596064 4543112 5029874 9086224 10059748 17604559 18172448 20119496 35209118 40238992 70418236 80477984 140836472 281672944 563345888