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27338429 = 11322141
BaseRepresentation
bin110100001001…
…0011010111101
31220102221021102
41220102122331
523444312204
62413542445
7451241606
oct150223275
956387242
1027338429
1114482848
1291a4a25
1358826b1
1438b8dad
15260041e
hex1a126bd

27338429 has 6 divisors (see below), whose sum is σ = 27595386. Its totient is φ = 27083840.

The previous prime is 27338413. The next prime is 27338447. The reversal of 27338429 is 92483372.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 16900 + 27321529 = 130^2 + 5227^2 .

It is not a de Polignac number, because 27338429 - 24 = 27338413 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 27338392 and 27338401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27338459) 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 5 ways as a sum of consecutive naturals, for example, 11699 + ... + 13839.

It is an arithmetic number, because the mean of its divisors is an integer number (4599231).

Almost surely, 227338429 is an apocalyptic number.

It is an amenable number.

27338429 is a deficient number, since it is larger than the sum of its proper divisors (256957).

27338429 is an equidigital number, since it uses as much as digits as its factorization.

27338429 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2367 (or 2254 counting only the distinct ones).

The product of its digits is 72576, while the sum is 38.

The square root of 27338429 is about 5228.6163561692. The cubic root of 27338429 is about 301.2482398616.

The spelling of 27338429 in words is "twenty-seven million, three hundred thirty-eight thousand, four hundred twenty-nine".

Divisors: 1 113 2141 12769 241933 27338429