Search a number
-
+
45500597 is a prime number
BaseRepresentation
bin1010110110010…
…0100010110101
310011121200002022
42231210202311
543122004342
64303122525
71061514542
oct255444265
9104550068
1045500597
11237582aa
12132a3445
13957143c
146085bc9
153edb9d2
hex2b648b5

45500597 has 2 divisors, whose sum is σ = 45500598. Its totient is φ = 45500596.

The previous prime is 45500549. The next prime is 45500599. The reversal of 45500597 is 79500554.

45500597 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., 43217476 + 2283121 = 6574^2 + 1511^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-45500597 is a prime.

Together with 45500599, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p2746709 and since 45500597 and 2746709 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (45500599) 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, 22750298 + 22750299.

It is an arithmetic number, because the mean of its divisors is an integer number (22750299).

Almost surely, 245500597 is an apocalyptic number.

It is an amenable number.

45500597 is a deficient number, since it is larger than the sum of its proper divisors (1).

45500597 is an equidigital number, since it uses as much as digits as its factorization.

45500597 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31500, while the sum is 35.

The square root of 45500597 is about 6745.4130340551. The cubic root of 45500597 is about 357.0034104820.

The spelling of 45500597 in words is "forty-five million, five hundred thousand, five hundred ninety-seven".