54 (number)

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← 53 54 55 →
Cardinal fifty-four
Ordinal 54th
(fifty-fourth)
Factorization 2 × 33
Divisors 1, 2, 3, 6, 9, 18, 27, 54
Greek numeral ΝΔ´
Roman numeral LIV
Binary 1101102
Ternary 20003
Quaternary 3124
Quinary 2045
Senary 1306
Octal 668
Duodecimal 4612
Hexadecimal 3616
Vigesimal 2E20
Base 36 1I36

54 (fifty-four) is the natural number following 53 and preceding 55.

In mathematics[edit]

54 is a 19-gonal number.[1] Twice the third power of three, 54 is a Leyland number.[2] 54 can be written as the sum of three squares in three different ways: 72 + 22 + 12 = 62 + 32 + 32 = 52 + 52 + 22 = 54. It is the smallest number with this property. Like all other multiples of 6, it is a semiperfect number.[3]

In base 10, 54 is a Harshad number.[4]

The Holt graph has 54 edges.

The sine of an angle of 54 degrees is half the golden ratio.

In science[edit]

Astronomy[edit]

In sports[edit]

A Rubik's Cube has 54 colored squares
Traditional Japanese symbols of the 54 chapters of the Tale of Genji

In other fields[edit]

54 is also:

References[edit]

  1. ^ "Sloane's A051871 : 19-gonal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-30. 
  2. ^ "Sloane's A076980 : Leyland numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-30. 
  3. ^ "Sloane's A005835 : Pseudoperfect (or semiperfect) numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-30. 
  4. ^ "Sloane's A005349 : Niven (or Harshad) numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-30.