Search a number
-
+
45904321 is a prime number
BaseRepresentation
bin1010111100011…
…1000111000001
310012101011220001
42233013013001
543222414241
64315520001
71065115561
oct257070701
9105334801
1045904321
1123a03661
1213459001
139683128
14614cda1
15406b431
hex2bc71c1

45904321 has 2 divisors, whose sum is σ = 45904322. Its totient is φ = 45904320.

The previous prime is 45904249. The next prime is 45904337. The reversal of 45904321 is 12340954.

45904321 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., 29582721 + 16321600 = 5439^2 + 4040^2 .

It is a cyclic number.

It is not a de Polignac number, because 45904321 - 27 = 45904193 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 45904321.

It is not a weakly prime, because it can be changed into another prime (45904351) 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, 22952160 + 22952161.

It is an arithmetic number, because the mean of its divisors is an integer number (22952161).

Almost surely, 245904321 is an apocalyptic number.

It is an amenable number.

45904321 is a deficient number, since it is larger than the sum of its proper divisors (1).

45904321 is an equidigital number, since it uses as much as digits as its factorization.

45904321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 45904321 is about 6775.2727620370. The cubic root of 45904321 is about 358.0561926088.

It can be divided in two parts, 45904 and 321, that added together give a square (46225 = 2152).

The spelling of 45904321 in words is "forty-five million, nine hundred four thousand, three hundred twenty-one".