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27564993 = 3229105613
BaseRepresentation
bin110100100100…
…1101111000001
31220212110001200
41221021233001
524024034433
62422451413
7453204261
oct151115701
956773050
1027564993
1114617a95
129293b69
135931861
1439377a1
152647613
hex1a49bc1

27564993 has 12 divisors (see below), whose sum is σ = 41189460. Its totient is φ = 17742816.

The previous prime is 27564949. The next prime is 27565001. The reversal of 27564993 is 39946572.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 19079424 + 8485569 = 4368^2 + 2913^2 .

It is not a de Polignac number, because 27564993 - 213 = 27556801 is a prime.

It is not an unprimeable number, because it can be changed into a prime (27564913) 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, 52546 + ... + 53067.

It is an arithmetic number, because the mean of its divisors is an integer number (3432455).

Almost surely, 227564993 is an apocalyptic number.

It is an amenable number.

27564993 is a deficient number, since it is larger than the sum of its proper divisors (13624467).

27564993 is a wasteful number, since it uses less digits than its factorization.

27564993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105648 (or 105645 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 27564993 is about 5250.2374232029. The cubic root of 27564993 is about 302.0781379030.

The spelling of 27564993 in words is "twenty-seven million, five hundred sixty-four thousand, nine hundred ninety-three".

Divisors: 1 3 9 29 87 261 105613 316839 950517 3062777 9188331 27564993