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289306081 = 7322332
BaseRepresentation
bin10001001111100…
…111010111100001
3202011101021100001
4101033213113201
51043030243311
644412500001
710112026651
oct2117472741
9664337301
10289306081
1113933aa39
1280a7a601
1347c2543c
142a5cc361
151a5ea4c1
hex113e75e1

289306081 has 9 divisors (see below), whose sum is σ = 294587769. Its totient is φ = 284118336.

The previous prime is 289306063. The next prime is 289306097. The reversal of 289306081 is 180603982.

The square root of 289306081 is 17009.

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 17715681 + 271590400 = 4209^2 + 16480^2 .

It is not a de Polignac number, because 289306081 - 213 = 289297889 is a prime.

It is a super-2 number, since 2×2893060812 = 167396017007157122, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 289306081.

It is not an unprimeable number, because it can be changed into a prime (289306481) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1241541 + ... + 1241773.

Almost surely, 2289306081 is an apocalyptic number.

289306081 is the 17009-th square number.

289306081 is the 8505-th centered octagonal number.

It is an amenable number.

289306081 is a deficient number, since it is larger than the sum of its proper divisors (5281688).

289306081 is an frugal number, since it uses more digits than its factorization.

289306081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The cubic root of 289306081 is about 661.3822279325.

Multiplying 289306081 by its product of nonzero digits (20736), we get a square (5999050895616 = 24492962).

The spelling of 289306081 in words is "two hundred eighty-nine million, three hundred six thousand, eighty-one".

Divisors: 1 73 233 5329 17009 54289 1241657 3963097 289306081