62 (number)

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61 62 63
Cardinal sixty-two
Ordinal 62nd
(sixty-second)
Factorization 2 × 31
Divisors 1, 2, 31, 62
Roman numeral LXII
Binary 1111102
Ternary 20223
Quaternary 3324
Quinary 2225
Senary 1426
Octal 768
Duodecimal 5212
Hexadecimal 3E16
Vigesimal 3220
Base 36 1Q36

62 (sixty-two) is a natural number following 61 and preceding 63.

In mathematics[edit]

62 is a composite number with the divisors 2 and 31, being the eighteenth discreet semiprime. 62 has an aliquot sum of 34; itself a discrete semiprime, and the 10 member aliquot sequence (62,34,20,22,14,10,8,7,1,0). 62 is therefore the tenth member of the 7-aliquot tree. 62 is a nontotient.

It is the sum of the number of faces, edges and vertices of icosahedron or dodecahedron; and the number of faces of two of the Archimedean solids, the rhombicosidodecahedron and truncated icosidodecahedron.

62 is a repdigit in base 5 (222).

In base 10, 62 is also the only number whose cube (238328) consists of 3 digits each occurring 2 times.[1]

In science[edit]

Sixty-two is the atomic number of samarium, a lanthanide

In other fields[edit]

62 is the code for international direct dial calls to Indonesia.

Sigmund Freud had an irrational fear of the number 62.[2]

In the 1998 Home Run Race, Mark McGwire hit his 62nd home run on September 8, breaking the single-season record. Sammy Sosa hit his 62nd home run just days later on September 13.

References[edit]

  1. ^ John D. Cook (5 February 2010). "Carnival of Mathematics #62". 
  2. ^ "Medicine: The Last Days of Freud". Time. 14 October 1957.