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813738465 = 32518083077
BaseRepresentation
bin110000100000001…
…010100111100001
32002201012012022200
4300200022213201
53131304112330
6212425123413
726110443231
oct6040124741
92081165280
10813738465
11388374831
121a8629569
13cc783267
147a103cc1
154b68ca60
hex3080a9e1

813738465 has 12 divisors (see below), whose sum is σ = 1410480084. Its totient is φ = 433993824.

The previous prime is 813738461. The next prime is 813738467. The reversal of 813738465 is 564837318.

It can be written as a sum of positive squares in 2 ways, for example, as 223831521 + 589906944 = 14961^2 + 24288^2 .

It is not a de Polignac number, because 813738465 - 22 = 813738461 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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: 18083077 = 813738465 / (8 + 1 + 3 + 7 + 3 + 8 + 4 + 6 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 813738465.

It is not an unprimeable number, because it can be changed into a prime (813738461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9041494 + ... + 9041583.

It is an arithmetic number, because the mean of its divisors is an integer number (117540007).

Almost surely, 2813738465 is an apocalyptic number.

It is an amenable number.

813738465 is a deficient number, since it is larger than the sum of its proper divisors (596741619).

813738465 is a wasteful number, since it uses less digits than its factorization.

813738465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18083088 (or 18083085 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 813738465 is about 28526.1014686550. The cubic root of 813738465 is about 933.6016597413.

The spelling of 813738465 in words is "eight hundred thirteen million, seven hundred thirty-eight thousand, four hundred sixty-five".

Divisors: 1 3 5 9 15 45 18083077 54249231 90415385 162747693 271246155 813738465