Search a number
-
+
44772137 is a prime number
BaseRepresentation
bin1010101011001…
…0101100101001
310010020122211022
42222302230221
542430202022
64235342225
71052362004
oct252625451
9103218738
1044772137
11232aaa73
1212bb1975
1393779b7
145d3653b
153de5c42
hex2ab2b29

44772137 has 2 divisors, whose sum is σ = 44772138. Its totient is φ = 44772136.

The previous prime is 44772131. The next prime is 44772139. The reversal of 44772137 is 73127744.

It is a happy number.

44772137 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., 38700841 + 6071296 = 6221^2 + 2464^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-44772137 is a prime.

Together with 44772139, 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 = 44772097 and 44772106.

It is not a weakly prime, because it can be changed into another prime (44772131) 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, 22386068 + 22386069.

It is an arithmetic number, because the mean of its divisors is an integer number (22386069).

Almost surely, 244772137 is an apocalyptic number.

It is an amenable number.

44772137 is a deficient number, since it is larger than the sum of its proper divisors (1).

44772137 is an equidigital number, since it uses as much as digits as its factorization.

44772137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 32928, while the sum is 35.

The square root of 44772137 is about 6691.1984726206. The cubic root of 44772137 is about 355.0879554594.

The spelling of 44772137 in words is "forty-four million, seven hundred seventy-two thousand, one hundred thirty-seven".