Search a number
-
+
45680441 is a prime number
BaseRepresentation
bin1010111001000…
…0011100111001
310011221210210012
42232100130321
543143233231
64311031305
71063164062
oct256203471
9104853705
1045680441
1123870434
121336b535
139605261
1460d1569
154024e2b
hex2b90739

45680441 has 2 divisors, whose sum is σ = 45680442. Its totient is φ = 45680440.

The previous prime is 45680429. The next prime is 45680443. The reversal of 45680441 is 14408654.

45680441 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., 42055225 + 3625216 = 6485^2 + 1904^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-45680441 is a prime.

Together with 45680443, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 45680398 and 45680407.

It is not a weakly prime, because it can be changed into another prime (45680443) 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, 22840220 + 22840221.

It is an arithmetic number, because the mean of its divisors is an integer number (22840221).

Almost surely, 245680441 is an apocalyptic number.

It is an amenable number.

45680441 is a deficient number, since it is larger than the sum of its proper divisors (1).

45680441 is an equidigital number, since it uses as much as digits as its factorization.

45680441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 45680441 is about 6758.7307240339. The cubic root of 45680441 is about 357.4731516832.

The spelling of 45680441 in words is "forty-five million, six hundred eighty thousand, four hundred forty-one".