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27406933 is a prime number
BaseRepresentation
bin110100010001…
…1001001010101
31220120102020121
41220203021111
524004010213
62415231541
7451645411
oct150431125
956512217
1027406933
111451a264
1292185b1
1358a7928
1438d5d41
15261588d
hex1a23255

27406933 has 2 divisors, whose sum is σ = 27406934. Its totient is φ = 27406932.

The previous prime is 27406931. The next prime is 27406937. The reversal of 27406933 is 33960472.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 26450449 + 956484 = 5143^2 + 978^2 .

It is a cyclic number.

It is not a de Polignac number, because 27406933 - 21 = 27406931 is a prime.

It is a super-2 number, since 2×274069332 = 1502279952932978, which contains 22 as substring.

Together with 27406931, it forms a pair of twin primes.

It is equal to p1706794 and since 27406933 and 1706794 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (27406931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13703466 + 13703467.

It is an arithmetic number, because the mean of its divisors is an integer number (13703467).

Almost surely, 227406933 is an apocalyptic number.

It is an amenable number.

27406933 is a deficient number, since it is larger than the sum of its proper divisors (1).

27406933 is an equidigital number, since it uses as much as digits as its factorization.

27406933 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27216, while the sum is 34.

The square root of 27406933 is about 5235.1631302186. The cubic root of 27406933 is about 301.4996502649.

The spelling of 27406933 in words is "twenty-seven million, four hundred six thousand, nine hundred thirty-three".