Search a number
-
+
564130601 = 1723752757
BaseRepresentation
bin100001100111111…
…111001100101001
31110022111210200222
4201213333030221
52123404134401
6131551135425
716660013426
oct4147771451
91408453628
10564130601
1126a489741
12138b14575
138cb4a1b8
1454ccad4d
15347d4c1b
hex219ff329

564130601 has 12 divisors (see below), whose sum is σ = 615474828. Its totient is φ = 516586752.

The previous prime is 564130561. The next prime is 564130627. The reversal of 564130601 is 106031465.

It can be written as a sum of positive squares in 6 ways, for example, as 254370601 + 309760000 = 15949^2 + 17600^2 .

It is not a de Polignac number, because 564130601 - 218 = 563868457 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (564130661) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 15686 + ... + 37071.

It is an arithmetic number, because the mean of its divisors is an integer number (51289569).

Almost surely, 2564130601 is an apocalyptic number.

It is an amenable number.

564130601 is a deficient number, since it is larger than the sum of its proper divisors (51344227).

564130601 is a wasteful number, since it uses less digits than its factorization.

564130601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52828 (or 52811 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 564130601 is about 23751.4336619919. The cubic root of 564130601 is about 826.2786909869.

The spelling of 564130601 in words is "five hundred sixty-four million, one hundred thirty thousand, six hundred one".

Divisors: 1 17 37 289 629 10693 52757 896869 1952009 15246773 33184153 564130601