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
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.

The factorial of 54 is 230843697339241380472092742683027581083278564571807941132288000000000000, or approximately 2.30843697339241×1071.

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.