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45916517 is a prime number
BaseRepresentation
bin1010111100101…
…0000101100101
310012101210121202
42233022011211
543223312032
64320052245
71065166253
oct257120545
9105353552
1045916517
1123a11839
1213464085
13968884a
1461535d3
15406ed62
hex2bca165

45916517 has 2 divisors, whose sum is σ = 45916518. Its totient is φ = 45916516.

The previous prime is 45916511. The next prime is 45916529. The reversal of 45916517 is 71561954.

45916517 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 41036836 + 4879681 = 6406^2 + 2209^2 .

It is a cyclic number.

It is not a de Polignac number, because 45916517 - 24 = 45916501 is a prime.

It is a super-3 number, since 3×459165173 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (45916511) 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, 22958258 + 22958259.

It is an arithmetic number, because the mean of its divisors is an integer number (22958259).

Almost surely, 245916517 is an apocalyptic number.

It is an amenable number.

45916517 is a deficient number, since it is larger than the sum of its proper divisors (1).

45916517 is an equidigital number, since it uses as much as digits as its factorization.

45916517 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 37800, while the sum is 38.

The square root of 45916517 is about 6776.1727398289. The cubic root of 45916517 is about 358.0878996214.

The spelling of 45916517 in words is "forty-five million, nine hundred sixteen thousand, five hundred seventeen".