Search a number
-
+
289322813 = 13172531453
BaseRepresentation
bin10001001111101…
…011011100111101
3202011102010021202
4101033223130331
51043031312223
644413105245
710112126513
oct2117533475
9664363252
10289322813
1113935156a
1280a88225
1347c2cc40
142a5d44b3
151a600428
hex113eb73d

289322813 has 24 divisors (see below), whose sum is σ = 337461768. Its totient is φ = 246445056.

The previous prime is 289322807. The next prime is 289322833. The reversal of 289322813 is 318223982.

It can be written as a sum of positive squares in 12 ways, for example, as 5299204 + 284023609 = 2302^2 + 16853^2 .

It is not a de Polignac number, because 289322813 - 26 = 289322749 is a prime.

It is a Duffinian number.

Its product of digits (41472) is a multiple of the sum of its prime divisors (1536).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289322833) 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, 198395 + ... + 199847.

It is an arithmetic number, because the mean of its divisors is an integer number (14060907).

Almost surely, 2289322813 is an apocalyptic number.

It is an amenable number.

289322813 is a deficient number, since it is larger than the sum of its proper divisors (48138955).

289322813 is a wasteful number, since it uses less digits than its factorization.

289322813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1553 (or 1536 counting only the distinct ones).

The product of its digits is 41472, while the sum is 38.

The square root of 289322813 is about 17009.4918501406. The cubic root of 289322813 is about 661.3949780206.

The spelling of 289322813 in words is "two hundred eighty-nine million, three hundred twenty-two thousand, eight hundred thirteen".

Divisors: 1 13 17 53 221 289 689 901 1453 3757 11713 15317 18889 24701 77009 199121 321113 419917 1001117 1309153 5458921 17018989 22255601 289322813