Search a number
-
+
7683048409 = 2323721032
BaseRepresentation
bin1110010011111001…
…00000001111011001
3201211110000022001111
413021330200033121
5111213330022114
63310214220321
7361251556021
oct71174401731
921743008044
107683048409
113292975a93
1215a50546a1
1395598b5ba
1452c560a81
152ee78dbc4
hex1c9f203d9

7683048409 has 27 divisors (see below), whose sum is σ = 8335474623. Its totient is φ = 7080959952.

The previous prime is 7683048407. The next prime is 7683048421. The reversal of 7683048409 is 9048403867.

The square root of 7683048409 is 87653.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 6874897225 + 808151184 = 82915^2 + 28428^2 .

It is not a de Polignac number, because 7683048409 - 21 = 7683048407 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7683048407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 74592652 + ... + 74592754.

Almost surely, 27683048409 is an apocalyptic number.

7683048409 is the 87653-rd square number.

7683048409 is the 43827-th centered octagonal number.

It is an amenable number.

7683048409 is a deficient number, since it is larger than the sum of its proper divisors (652426214).

7683048409 is an equidigital number, since it uses as much as digits as its factorization.

7683048409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 49.

The cubic root of 7683048409 is about 1973.2306674018.

Multiplying 7683048409 by its sum of digits (49), we get a square (376469372041 = 6135712).

The spelling of 7683048409 in words is "seven billion, six hundred eighty-three million, forty-eight thousand, four hundred nine".

Divisors: 1 23 37 103 529 851 1369 2369 3811 10609 19573 31487 54487 87653 141007 244007 392533 724201 2016019 3243161 5612161 9028259 14523721 74592703 207649957 334045583 7683048409