Search a number
-
+
564063344 = 241319314051
BaseRepresentation
bin100001100111101…
…110110001110000
31110022101101102222
4201213232301300
52123400011334
6131545500212
716656313355
oct4147566160
91408341388
10564063344
1126a443159
12138aa1668
138cb256c0
1454cb062c
15347bed2e
hex219eec70

564063344 has 40 divisors (see below), whose sum is σ = 1183122192. Its totient is φ = 258969600.

The previous prime is 564063319. The next prime is 564063361. The reversal of 564063344 is 443360465.

564063344 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 7 ways as a sum of consecutive naturals, for example, 33119 + ... + 47169.

Almost surely, 2564063344 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 564063344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591561096).

564063344 is an abundant number, since it is smaller than the sum of its proper divisors (619058848).

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

564063344 is a wasteful number, since it uses less digits than its factorization.

564063344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14265 (or 14259 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 35.

The square root of 564063344 is about 23750.0177684144. The cubic root of 564063344 is about 826.2458527077.

The spelling of 564063344 in words is "five hundred sixty-four million, sixty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 52 104 193 208 386 772 1544 2509 3088 5018 10036 14051 20072 28102 40144 56204 112408 182663 224816 365326 730652 1461304 2711843 2922608 5423686 10847372 21694744 35253959 43389488 70507918 141015836 282031672 564063344