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# 62 (number)

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### 62 (number)

 ← 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
Vigesimal 3220
Base 36 1Q36

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

## Contents

• In mathematics 1
• In science 2
• In other fields 3
• References 4

## In mathematics

62 is a composite number with the divisors 2 and 31, being the eighteenth discrete semiprime. It 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 other fields

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

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