Search a number
-
+
563326830 = 2325112512267
BaseRepresentation
bin100001100100111…
…010111101101110
31110020222222010200
4201210322331232
52123202424310
6131522014330
716650125163
oct4144727556
91406888120
10563326830
11269a8a870
121387a73a6
138c9283b1
1454b5c06a
15346c69c0
hex2193af6e

563326830 has 96 divisors (see below), whose sum is σ = 1604873088. Its totient is φ = 135960000.

The previous prime is 563326759. The next prime is 563326847. The reversal of 563326830 is 38623365.

It is a happy number.

563326830 is a `hidden beast` number, since 563 + 3 + 2 + 68 + 30 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 247357 + ... + 249623.

It is an arithmetic number, because the mean of its divisors is an integer number (16717428).

Almost surely, 2563326830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 563326830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802436544).

563326830 is an abundant number, since it is smaller than the sum of its proper divisors (1041546258).

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

563326830 is a wasteful number, since it uses less digits than its factorization.

563326830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2542 (or 2539 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 563326830 is about 23734.5071573016. The cubic root of 563326830 is about 825.8860782839.

The spelling of 563326830 in words is "five hundred sixty-three million, three hundred twenty-six thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 251 330 495 502 753 990 1255 1506 2259 2267 2510 2761 3765 4518 4534 5522 6801 7530 8283 11295 11335 13602 13805 16566 20403 22590 22670 24849 24937 27610 34005 40806 41415 49698 49874 68010 74811 82830 102015 124245 124685 149622 204030 224433 248490 249370 374055 448866 569017 748110 1122165 1138034 1707051 2244330 2845085 3414102 5121153 5690170 6259187 8535255 10242306 12518374 17070510 18777561 25605765 31295935 37555122 51211530 56332683 62591870 93887805 112665366 187775610 281663415 563326830