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564426541 = 7241280949
BaseRepresentation
bin100001101001000…
…111011100101101
31110100001211122201
4201221013130231
52123443122131
6132001341501
716662355300
oct4151073455
91410054581
10564426541
1126a671018
12139037891
138cc21b03
1454d66b37
1534842761
hex21a4772d

564426541 has 12 divisors (see below), whose sum is σ = 672594300. Its totient is φ = 471992640.

The previous prime is 564426539. The next prime is 564426547. The reversal of 564426541 is 145624465.

564426541 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 336869316 + 227557225 = 18354^2 + 15085^2 .

It is not a de Polignac number, because 564426541 - 21 = 564426539 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 564426541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564426547) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 138466 + ... + 142483.

It is an arithmetic number, because the mean of its divisors is an integer number (56049525).

Almost surely, 2564426541 is an apocalyptic number.

It is an amenable number.

564426541 is a deficient number, since it is larger than the sum of its proper divisors (108167759).

564426541 is a wasteful number, since it uses less digits than its factorization.

564426541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281004 (or 280997 counting only the distinct ones).

The product of its digits is 115200, while the sum is 37.

The square root of 564426541 is about 23757.6627848785. The cubic root of 564426541 is about 826.4231529066.

The spelling of 564426541 in words is "five hundred sixty-four million, four hundred twenty-six thousand, five hundred forty-one".

Divisors: 1 7 41 49 287 2009 280949 1966643 11518909 13766501 80632363 564426541