648 = 23 x 34 = 12 x 23 x 34.
648 has a representation as a sum of two squares: 648 = 182 + 182.
648 is the smallest number whose decimal part of its 6th root begins with the digits 1 to 9 in some order: 2.941682753. . . .
6483 = 272,097,792 = (-27 - 20 - 97 + 792)3.
648 is 220000 in base 3, 22020 in base 4, 3000 in base 6, 800 in base 9, and 200 in base 18.
One of my favorite numbers is 648 (which is missing in The Penguin Dictionary of Curious and Interesting Numbers).
ReplyDeleteSome its properties:
64*8 = 512 +
64/8 = 8 +
64+8 = 72 +
64-8 = 56 =
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648
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648 = 16² - 17² + 18² + ... + 30² - 31² + 32² = -33² + 34² - 35² + ... + 46² - 47² + 48².
648 = 83² - 79², where 83 and 79 are consecutive primes.
648 = 101 + 547, where 101 = prime(26) and 547 = prime(prime(26)).
648 / (6+4+8) is a square (36).
648 divides 53^6-1.
Also, 648 is an Abundant number, Odious number, Smith number, Practical number, Powerful number.