Search a number
-
+
45581309 is a prime number
BaseRepresentation
bin1010110111100…
…0001111111101
310011202202210122
42231320033331
543132100214
64304544325
71062302054
oct255701775
9104682718
1045581309
1123802a04
12133220a5
13959c0b7
1460a739b
15400588e
hex2b783fd

45581309 has 2 divisors, whose sum is σ = 45581310. Its totient is φ = 45581308.

The previous prime is 45581287. The next prime is 45581317. The reversal of 45581309 is 90318554.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 39564100 + 6017209 = 6290^2 + 2453^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-45581309 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (45581329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22790654 + 22790655.

It is an arithmetic number, because the mean of its divisors is an integer number (22790655).

Almost surely, 245581309 is an apocalyptic number.

It is an amenable number.

45581309 is a deficient number, since it is larger than the sum of its proper divisors (1).

45581309 is an equidigital number, since it uses as much as digits as its factorization.

45581309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21600, while the sum is 35.

The square root of 45581309 is about 6751.3931154985. The cubic root of 45581309 is about 357.2143779583.

The spelling of 45581309 in words is "forty-five million, five hundred eighty-one thousand, three hundred nine".