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564211341 = 32538314251
BaseRepresentation
bin100001101000010…
…010111010001101
31110022122220110100
4201220102322031
52123414230331
6131553001313
716660501011
oct4150227215
91408586410
10564211341
1126a534371
12138b53239
138cb77b85
1454d0c541
15347edae6
hex21a12e8d

564211341 has 24 divisors (see below), whose sum is σ = 840411936. Its totient is φ = 364572000.

The previous prime is 564211313. The next prime is 564211391. The reversal of 564211341 is 143112465.

It is a happy number.

564211341 is a `hidden beast` number, since 5 + 642 + 1 + 13 + 4 + 1 = 666.

It is not a de Polignac number, because 564211341 - 25 = 564211309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564211391) 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 23 ways as a sum of consecutive naturals, for example, 32466 + ... + 46716.

It is an arithmetic number, because the mean of its divisors is an integer number (35017164).

Almost surely, 2564211341 is an apocalyptic number.

It is an amenable number.

564211341 is a deficient number, since it is larger than the sum of its proper divisors (276200595).

564211341 is a wasteful number, since it uses less digits than its factorization.

564211341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14393 (or 14390 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 564211341 is about 23753.1332880528. The cubic root of 564211341 is about 826.3181089036.

The spelling of 564211341 in words is "five hundred sixty-four million, two hundred eleven thousand, three hundred forty-one".

Divisors: 1 3 9 53 83 159 249 477 747 4399 13197 14251 39591 42753 128259 755303 1182833 2265909 3548499 6797727 10645497 62690149 188070447 564211341