Search a number
-
+
45516641 is a prime number
BaseRepresentation
bin1010110110100…
…0011101100001
310011122111002112
42231220131201
543123013031
64303325105
71061612402
oct255503541
9104574075
1045516641
1123769365
12132b0795
139578831
14608b9a9
153ee162b
hex2b68761

45516641 has 2 divisors, whose sum is σ = 45516642. Its totient is φ = 45516640.

The previous prime is 45516629. The next prime is 45516643. The reversal of 45516641 is 14661554.

45516641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 23001616 + 22515025 = 4796^2 + 4745^2 .

It is a cyclic number.

It is not a de Polignac number, because 45516641 - 26 = 45516577 is a prime.

Together with 45516643, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 45516598 and 45516607.

It is not a weakly prime, because it can be changed into another prime (45516643) 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 as a sum of consecutive naturals, namely, 22758320 + 22758321.

It is an arithmetic number, because the mean of its divisors is an integer number (22758321).

Almost surely, 245516641 is an apocalyptic number.

It is an amenable number.

45516641 is a deficient number, since it is larger than the sum of its proper divisors (1).

45516641 is an equidigital number, since it uses as much as digits as its factorization.

45516641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 14400, while the sum is 32.

The square root of 45516641 is about 6746.6021818394. The cubic root of 45516641 is about 357.0453666320.

The spelling of 45516641 in words is "forty-five million, five hundred sixteen thousand, six hundred forty-one".