Search a number
-
+
36732809 is a prime number
BaseRepresentation
bin1000110000011…
…1111110001001
32120010012221102
42030013332021
533400422214
63351151145
7624136511
oct214077611
976105842
1036732809
11198099a3
12103754b5
1377c16b9
144c42841
153358bde
hex2307f89

36732809 has 2 divisors, whose sum is σ = 36732810. Its totient is φ = 36732808.

The previous prime is 36732781. The next prime is 36732811. The reversal of 36732809 is 90823763.

36732809 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., 34339600 + 2393209 = 5860^2 + 1547^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-36732809 is a prime.

Together with 36732811, it forms a pair of twin primes.

It is a Chen prime.

It is a plaindrome in base 15.

It is not a weakly prime, because it can be changed into another prime (36732889) 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, 18366404 + 18366405.

It is an arithmetic number, because the mean of its divisors is an integer number (18366405).

Almost surely, 236732809 is an apocalyptic number.

It is an amenable number.

36732809 is a deficient number, since it is larger than the sum of its proper divisors (1).

36732809 is an equidigital number, since it uses as much as digits as its factorization.

36732809 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54432, while the sum is 38.

The square root of 36732809 is about 6060.7597708538. The cubic root of 36732809 is about 332.4181387787.

The spelling of 36732809 in words is "thirty-six million, seven hundred thirty-two thousand, eight hundred nine".