Search a number
-
+
45763349 is a prime number
BaseRepresentation
bin1010111010010…
…0101100010101
310012010000111212
42232210230111
543203411344
64312511205
71063660562
oct256445425
9105100455
1045763349
1123917755
12133ab505
139633c08
146113869
15403e79e
hex2ba4b15

45763349 has 2 divisors, whose sum is σ = 45763350. Its totient is φ = 45763348.

The previous prime is 45763321. The next prime is 45763351. The reversal of 45763349 is 94336754.

45763349 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., 45495025 + 268324 = 6745^2 + 518^2 .

It is a cyclic number.

It is not a de Polignac number, because 45763349 - 212 = 45759253 is a prime.

It is a super-2 number, since 2×457633492 = 4188568223391602, which contains 22 as substring.

Together with 45763351, 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 (45763369) 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, 22881674 + 22881675.

It is an arithmetic number, because the mean of its divisors is an integer number (22881675).

Almost surely, 245763349 is an apocalyptic number.

It is an amenable number.

45763349 is a deficient number, since it is larger than the sum of its proper divisors (1).

45763349 is an equidigital number, since it uses as much as digits as its factorization.

45763349 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 272160, while the sum is 41.

The square root of 45763349 is about 6764.8613437379. The cubic root of 45763349 is about 357.6892870158.

The spelling of 45763349 in words is "forty-five million, seven hundred sixty-three thousand, three hundred forty-nine".