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53 (number)

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53
Cardinal fifty-three
Ordinal 53rd
(fifty-third)
Factorization prime
Divisors 1, 53
Roman numeral LIII
Binary 1101012
Octal 658
Duodecimal 4512
Hexadecimal 3516

53 (fifty-three) is the natural number following 52 and preceding 54.

Contents

[edit] In mathematics

Fifty-three is the 16th prime number. It is also an Eisenstein prime.

The sum of the first 53 primes is 5830, which is divisible by 53, a property shared by few other numbers.[1][2]

53 written in hexadecimal is 35, that is, the same characters used in the decimal representation, but reversed. Three multiples of 53 share this property: 371 = 17316 , 5141 = 141516 , 99481 =1849916 .

But 53 can not be expressed as the sum of any integer and its base 10 digits, making 53 a self number.

[edit] In science

[edit] Astronomy

[edit] In other fields

Fifty-three is:

  • The code for international direct dial phone calls to Cuba
  • Municipal Okrug 53, a municipal okrug of Nevsky District of Saint Petersburg, Russia
  • "53 Days" is a northeastern USA rock band
  • The racing number of Herbie, a Volkswagen Beetle with a mind of his own, first appearing in the 1969 movie The Love Bug
  • Part of the title of the 1912 movie North of Fifty Three, remade in 1917
  • "53 Days" a novel by Georges Perec
  • Ringo Starr’s book "Postcards From the Boys" (2003) contains 53 postcards from fellow Beatles
  • Fictional 53rd Precinct in the Bronx was found in the TV comedy "Car 54, Where Are You?"
  • Tony Baretta also worked out of the fictitious 53rd precinct
  • "53rd & 3rd" a song by the Ramones
  • "53 Miles West of Venus” by The B-52's
  • The number of countries in Africa
  • EK53 an Estonian graffiti crew
  • The number of the French department Mayenne
  • Year identifier used on motor vehicles registered in the UK between 1st September 2003 and 28th February 2004

[edit] Sports

[edit] Historical years

53 A.D., 53 B.C., 1953, etc.

[edit] References

  1. ^ (sequence A045345 in OEIS)
  2. ^ Puzzle 31.- The Average Prime number, APN(k) = S(Pk)/k from the The Prime Puzzles & Problems Connection website
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