Search a number
-
+
45715517 is a prime number
BaseRepresentation
bin1010111001100…
…1000000111101
310012000120220022
42232121000331
543200344032
64311501525
71063401251
oct256310075
9105016808
1045715517
1123894821
12133878a5
139618203
146100261
154030512
hex2b9903d

45715517 has 2 divisors, whose sum is σ = 45715518. Its totient is φ = 45715516.

The previous prime is 45715477. The next prime is 45715519. The reversal of 45715517 is 71551754.

45715517 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., 30184036 + 15531481 = 5494^2 + 3941^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-45715517 is a prime.

Together with 45715519, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (45715519) 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, 22857758 + 22857759.

It is an arithmetic number, because the mean of its divisors is an integer number (22857759).

Almost surely, 245715517 is an apocalyptic number.

It is an amenable number.

45715517 is a deficient number, since it is larger than the sum of its proper divisors (1).

45715517 is an equidigital number, since it uses as much as digits as its factorization.

45715517 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 24500, while the sum is 35.

The square root of 45715517 is about 6761.3250920215. The cubic root of 45715517 is about 357.5646242409.

The spelling of 45715517 in words is "forty-five million, seven hundred fifteen thousand, five hundred seventeen".