Search a number
-
+
9945945 = 325221021
BaseRepresentation
bin100101111100…
…001101011001
3200201022021100
4211330031121
510021232240
6553102013
7150352632
oct45741531
920638240
109945945
115683599
1233b7909
1320a3099
14146c889
15d16e30
hex97c359

9945945 has 12 divisors (see below), whose sum is σ = 17239716. Its totient is φ = 5304480.

The previous prime is 9945941. The next prime is 9945961. The reversal of 9945945 is 5495499.

It can be written as a sum of positive squares in 2 ways, for example, as 7767369 + 2178576 = 2787^2 + 1476^2 .

It is not a de Polignac number, because 9945945 - 22 = 9945941 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 221021 = 9945945 / (9 + 9 + 4 + 5 + 9 + 4 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 9945945.

It is not an unprimeable number, because it can be changed into a prime (9945941) 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 in 11 ways as a sum of consecutive naturals, for example, 110466 + ... + 110555.

It is an arithmetic number, because the mean of its divisors is an integer number (1436643).

Almost surely, 29945945 is an apocalyptic number.

It is an amenable number.

9945945 is a deficient number, since it is larger than the sum of its proper divisors (7293771).

9945945 is a wasteful number, since it uses less digits than its factorization.

9945945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221032 (or 221029 counting only the distinct ones).

The product of its digits is 291600, while the sum is 45.

The square root of 9945945 is about 3153.7192329058. The cubic root of 9945945 is about 215.0545742117.

The spelling of 9945945 in words is "nine million, nine hundred forty-five thousand, nine hundred forty-five".

Divisors: 1 3 5 9 15 45 221021 663063 1105105 1989189 3315315 9945945