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289 (number)

From Wikipedia, the free encyclopedia
← 288 289 290 →
Cardinaltwo hundred eighty-nine
Ordinal289th
(two hundred eighty-ninth)
Factorization172
Divisors1, 17, 289
Greek numeralΣΠΘ´
Roman numeralCCLXXXIX, cclxxxix
Binary1001000012
Ternary1012013
Senary12016
Octal4418
Duodecimal20112
Hexadecimal12116

289 is the natural number following 288 and preceding 290.

In mathematics

[edit]
  • 289 is an odd composite number with only one prime factor.[1]
  • 289 is the 9th Friedman number. Friedman numbers are numbers that can be written by using its own digits the exact number of times they show up in the number. This one can be expressed as (8+9)².[2]
  • 289 is a perfect square being equal to 17². It is also the 7th number to only have 3 factors because it is a square of a prime number.
  • 289 is the sum of perfect cubes. It is the sum of 1³+2³+4³+6³.
  • 289 is equivalent to the sum of the first 5 whole numbers to their respective powers. It is equal to 0⁰+1¹+2²+3³+4⁴.

References

[edit]
  1. ^ "Facts about the integer". mathworld.wolfram.com.
  2. ^ "Friedman numbers" (PDF). illuminations.nctm.org.
[edit]

Media related to 289 (number) at Wikimedia Commons









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