Search a number
-
+
563029668 = 223215639713
BaseRepresentation
bin100001100011110…
…010011010100100
31110020102212111200
4201203302122210
52123113422133
6131511402500
716644446625
oct4143623244
91406385450
10563029668
112698a7583
12138683430
138c853066
1454ac1a4c
1534668913
hex218f26a4

563029668 has 18 divisors (see below), whose sum is σ = 1423213974. Its totient is φ = 187676544.

The previous prime is 563029667. The next prime is 563029697. The reversal of 563029668 is 866920365.

It is a happy number.

563029668 is a `hidden beast` number, since 5 + 630 + 2 + 9 + 6 + 6 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 417875364 + 145154304 = 20442^2 + 12048^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (563029667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7819821 + ... + 7819892.

It is an arithmetic number, because the mean of its divisors is an integer number (79067443).

Almost surely, 2563029668 is an apocalyptic number.

It is an amenable number.

563029668 is an abundant number, since it is smaller than the sum of its proper divisors (860184306).

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

563029668 is a wasteful number, since it uses less digits than its factorization.

563029668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15639723 (or 15639718 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 563029668 is about 23728.2462057355. The cubic root of 563029668 is about 825.7408309705.

The spelling of 563029668 in words is "five hundred sixty-three million, twenty-nine thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 15639713 31279426 46919139 62558852 93838278 140757417 187676556 281514834 563029668