Search a number
-
+
2479585441 is a prime number
BaseRepresentation
bin1001001111001011…
…0111100010100001
320101210202222202211
42103302313202201
520034233213231
61050014042121
7115306062034
oct22362674241
96353688684
102479585441
111062730273
125924a9341
13306932428
1419745901b
15e7a46eb1
hex93cb78a1

2479585441 has 2 divisors, whose sum is σ = 2479585442. Its totient is φ = 2479585440.

The previous prime is 2479585417. The next prime is 2479585453. The reversal of 2479585441 is 1445859742.

2479585441 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., 2166437025 + 313148416 = 46545^2 + 17696^2 .

It is a cyclic number.

It is not a de Polignac number, because 2479585441 - 221 = 2477488289 is a prime.

It is a super-2 number, since 2×24795854412 = 12296687918438328962, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2479583441) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1239792720 + 1239792721.

It is an arithmetic number, because the mean of its divisors is an integer number (1239792721).

Almost surely, 22479585441 is an apocalyptic number.

It is an amenable number.

2479585441 is a deficient number, since it is larger than the sum of its proper divisors (1).

2479585441 is an equidigital number, since it uses as much as digits as its factorization.

2479585441 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1612800, while the sum is 49.

The square root of 2479585441 is about 49795.4359454760. The cubic root of 2479585441 is about 1353.5044643467.

The spelling of 2479585441 in words is "two billion, four hundred seventy-nine million, five hundred eighty-five thousand, four hundred forty-one".