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563908940 = 225723732399
BaseRepresentation
bin100001100111001…
…001000101001100
31110022002112122022
4201213021011030
52123330041230
6131542305312
716655101250
oct4147110514
91408075568
10563908940
1126a348151
12138a28238
138caa033a
1454c70260
153478e1e5
hex219c914c

563908940 has 96 divisors (see below), whose sum is σ = 1432166400. Its totient is φ = 182324736.

The previous prime is 563908937. The next prime is 563908967. The reversal of 563908940 is 49809365.

It is a super-2 number, since 2×5639089402 = 635986585223847200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 563908891 and 563908900.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 233861 + ... + 236259.

It is an arithmetic number, because the mean of its divisors is an integer number (14918400).

Almost surely, 2563908940 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 563908940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716083200).

563908940 is an abundant number, since it is smaller than the sum of its proper divisors (868257460).

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

563908940 is a wasteful number, since it uses less digits than its factorization.

563908940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2511 (or 2509 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 44.

The square root of 563908940 is about 23746.7669378381. The cubic root of 563908940 is about 826.1704549659.

The spelling of 563908940 in words is "five hundred sixty-three million, nine hundred eight thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 73 92 115 140 146 161 230 292 322 365 460 511 644 730 805 1022 1460 1610 1679 2044 2399 2555 3220 3358 4798 5110 6716 8395 9596 10220 11753 11995 16790 16793 23506 23990 33580 33586 47012 47980 55177 58765 67172 83965 110354 117530 167930 175127 220708 235060 275885 335860 350254 386239 551770 700508 772478 875635 1103540 1225889 1544956 1751270 1931195 2451778 3502540 3862390 4027921 4903556 6129445 7724780 8055842 12258890 16111684 20139605 24517780 28195447 40279210 56390894 80558420 112781788 140977235 281954470 563908940