Search a number
-
+
9268105441 = 721728092
BaseRepresentation
bin10001010000110110…
…00001000011100001
3212220220120112112111
420220123001003201
5122440113333231
64131355355321
7445446411400
oct105033010341
925826515474
109268105441
113a26670881
121967a52b41
13b4919197a
1463cc85637
153939da4b1
hex2286c10e1

9268105441 has 27 divisors (see below), whose sum is σ = 11466937209. Its totient is φ = 7467548928.

The previous prime is 9268105411. The next prime is 9268105459. The reversal of 9268105441 is 1445018629.

The square root of 9268105441 is 96271.

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

It can be written as a sum of positive squares in 4 ways, for example, as 4097920225 + 5170185216 = 64015^2 + 71904^2 .

It is not a de Polignac number, because 9268105441 - 25 = 9268105409 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 9268105394 and 9268105403.

It is not an unprimeable number, because it can be changed into a prime (9268105411) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11455845 + ... + 11456653.

Almost surely, 29268105441 is an apocalyptic number.

9268105441 is the 96271-st square number.

9268105441 is the 48136-th centered octagonal number.

It is an amenable number.

9268105441 is a deficient number, since it is larger than the sum of its proper divisors (2198831768).

9268105441 is an frugal number, since it uses more digits than its factorization.

9268105441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1666 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The cubic root of 9268105441 is about 2100.5369330743.

The spelling of 9268105441 in words is "nine billion, two hundred sixty-eight million, one hundred five thousand, four hundred forty-one".

Divisors: 1 7 17 49 119 289 809 833 2023 5663 13753 14161 39641 96271 233801 654481 673897 1636607 4581367 11126177 11456249 32069569 77883239 189145009 545182673 1324015063 9268105441