Search a number
-
+
564386628 = 2231331111633
BaseRepresentation
bin100001101000111…
…101101101000100
31110022222210220110
4201220331231010
52123440333003
6132000433020
716662131031
oct4150755504
91408883813
10564386628
1126a644033
12139018770
138cc098b0
1454d56388
1534835a03
hex21a3db44

564386628 has 48 divisors (see below), whose sum is σ = 1422884736. Its totient is φ = 173084160.

The previous prime is 564386611. The next prime is 564386629. The reversal of 564386628 is 826683465.

It is not an unprimeable number, because it can be changed into a prime (564386629) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42700 + ... + 54332.

It is an arithmetic number, because the mean of its divisors is an integer number (29643432).

Almost surely, 2564386628 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 564386628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711442368).

564386628 is an abundant number, since it is smaller than the sum of its proper divisors (858498108).

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

564386628 is a wasteful number, since it uses less digits than its factorization.

564386628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11964 (or 11962 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 48.

The square root of 564386628 is about 23756.8227673652. The cubic root of 564386628 is about 826.4036724827.

The spelling of 564386628 in words is "five hundred sixty-four million, three hundred eighty-six thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 311 622 933 1244 1866 3732 4043 8086 11633 12129 16172 23266 24258 34899 46532 48516 69798 139596 151229 302458 453687 604916 907374 1814748 3617863 7235726 10853589 14471452 21707178 43414356 47032219 94064438 141096657 188128876 282193314 564386628