Search a number
-
+
949331305 = 51325572017
BaseRepresentation
bin111000100101011…
…010010101101001
32110011100000201201
4320211122111221
53421012100210
6234111244201
732345116516
oct7045322551
92404300651
10949331305
1144796672a
12225b19661
131218a9600
149011c30d
155852353a
hex3895a569

949331305 has 24 divisors (see below), whose sum is σ = 1236396312. Its totient is φ = 699439104.

The previous prime is 949331263. The next prime is 949331309. The reversal of 949331305 is 503133949.

949331305 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 587723049 + 361608256 = 24243^2 + 19016^2 .

It is not a de Polignac number, because 949331305 - 211 = 949329257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (949331309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 469657 + ... + 471673.

It is an arithmetic number, because the mean of its divisors is an integer number (51516513).

Almost surely, 2949331305 is an apocalyptic number.

It is an amenable number.

949331305 is a deficient number, since it is larger than the sum of its proper divisors (287065007).

949331305 is a wasteful number, since it uses less digits than its factorization.

949331305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2605 (or 2592 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 37.

The square root of 949331305 is about 30811.2204399631. The cubic root of 949331305 is about 982.8168660730.

The spelling of 949331305 in words is "nine hundred forty-nine million, three hundred thirty-one thousand, three hundred five".

Divisors: 1 5 13 65 169 557 845 2017 2785 7241 10085 26221 36205 94133 131105 340873 470665 1123469 1704365 5617345 14605097 73025485 189866261 949331305