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564680169 = 32894
BaseRepresentation
bin100001101010000…
…101010111101001
31110100112201120100
4201222011113221
52124024231134
6132011020013
716664462604
oct4152052751
91410481510
10564680169
1126a824629
1213913a609
138ccb03a1
1454dd133b
1534892999
hex21a855e9

564680169 has 15 divisors (see below), whose sum is σ = 824917873. Its totient is φ = 372223632.

The previous prime is 564680147. The next prime is 564680189. The reversal of 564680169 is 961086465.

The square root of 564680169 is 23763.

It is a perfect power (a square), and thus also a powerful number.

564680169 is a `hidden beast` number, since 564 + 6 + 80 + 1 + 6 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 214241769 + 350438400 = 14637^2 + 18720^2 .

It is not a de Polignac number, because 564680169 - 213 = 564671977 is a prime.

It is a super-2 number, since 2×5646801692 = 637727386523737122, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (564680189) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 6344677 + ... + 6344765.

Almost surely, 2564680169 is an apocalyptic number.

564680169 is the 23763-rd square number.

564680169 is the 11882-nd centered octagonal number.

It is an amenable number.

564680169 is a deficient number, since it is larger than the sum of its proper divisors (260237704).

564680169 is an frugal number, since it uses more digits than its factorization.

564680169 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The cubic root of 564680169 is about 826.5469202164.

The spelling of 564680169 in words is "five hundred sixty-four million, six hundred eighty thousand, one hundred sixty-nine".

Divisors: 1 3 9 89 267 801 7921 23763 71289 704969 2114907 6344721 62742241 188226723 564680169