Search a number
-
+
27648641 is a prime number
BaseRepresentation
bin110100101111…
…0001010000001
31221000200210202
41221132022001
524034224031
62424334545
7454003166
oct151361201
957020722
1027648641
1114674919
129314455
135960957
14395a06d
1526622cb
hex1a5e281

27648641 has 2 divisors, whose sum is σ = 27648642. Its totient is φ = 27648640.

The previous prime is 27648631. The next prime is 27648661. The reversal of 27648641 is 14684672.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19360000 + 8288641 = 4400^2 + 2879^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-27648641 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 27648595 and 27648604.

It is not a weakly prime, because it can be changed into another prime (27648611) 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, 13824320 + 13824321.

It is an arithmetic number, because the mean of its divisors is an integer number (13824321).

Almost surely, 227648641 is an apocalyptic number.

It is an amenable number.

27648641 is a deficient number, since it is larger than the sum of its proper divisors (1).

27648641 is an equidigital number, since it uses as much as digits as its factorization.

27648641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 64512, while the sum is 38.

The square root of 27648641 is about 5258.1975048490. The cubic root of 27648641 is about 302.3833887894.

The spelling of 27648641 in words is "twenty-seven million, six hundred forty-eight thousand, six hundred forty-one".