Search a number
-
+
45759761 is a prime number
BaseRepresentation
bin1010111010001…
…1110100010001
310012002211120222
42232203310101
543203303021
64312442425
71063644245
oct256436421
9105084528
1045759761
1123914a93
12133a9415
1396323a8
146112425
15403d6ab
hex2ba3d11

45759761 has 2 divisors, whose sum is σ = 45759762. Its totient is φ = 45759760.

The previous prime is 45759737. The next prime is 45759793. The reversal of 45759761 is 16795754.

45759761 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., 42315025 + 3444736 = 6505^2 + 1856^2 .

It is a cyclic number.

It is not a de Polignac number, because 45759761 - 214 = 45743377 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (45753761) 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, 22879880 + 22879881.

It is an arithmetic number, because the mean of its divisors is an integer number (22879881).

Almost surely, 245759761 is an apocalyptic number.

It is an amenable number.

45759761 is a deficient number, since it is larger than the sum of its proper divisors (1).

45759761 is an equidigital number, since it uses as much as digits as its factorization.

45759761 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 264600, while the sum is 44.

The square root of 45759761 is about 6764.5961446342. The cubic root of 45759761 is about 357.6799387584.

The spelling of 45759761 in words is "forty-five million, seven hundred fifty-nine thousand, seven hundred sixty-one".