# 62 (number)

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

| ||||
---|---|---|---|---|

Cardinal | sixty-two | |||

Ordinal | 62nd (sixty-second) | |||

Factorization | 2 × 31 | |||

Divisors | 1, 2, 31, 62 | |||

Greek numeral | ΞΒ´ | |||

Roman numeral | LXII | |||

Binary | 111110_{2} | |||

Ternary | 2022_{3} | |||

Quaternary | 332_{4} | |||

Quinary | 222_{5} | |||

Senary | 142_{6} | |||

Octal | 76_{8} | |||

Duodecimal | 52_{12} | |||

Hexadecimal | 3E_{16} | |||

Vigesimal | 32_{20} | |||

Base 36 | 1Q_{36} |

## In mathematicsEdit

**62** is:

- a composite number with the divisors 2 and 31, being the eighteenth discrete semiprime.
- a nontotient.
^{[1]} - palindromic and a repdigit in bases 5 (222
_{5}), 30 (22_{30}) and 61 (11_{61}) - the sum of the number of faces, edges and vertices of icosahedron or dodecahedron.
- the number of faces of two of the Archimedean solids, the rhombicosidodecahedron and truncated icosidodecahedron.
- the only number whose cube in base 10 (238328) consists of 3 digits each occurring 2 times.
^{[2]} - the tenth member of the 7-aliquot tree (7, 8, 10, 14, 20, 22, 34, 38, 49, 62, 75, 118, 148, etc). It has an aliquot sum of 34; itself a discrete semiprime, and its aliquot sequence is: 62,34,20,22,14,10,8,7,1,0.

## In scienceEdit

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

## In other fieldsEdit

- 62 is the code for international direct dial calls to Indonesia.
- 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.
- Under Social Security (United States), the earliest age at which a person may begin receiving retirement benefits (other than disability)

## ReferencesEdit

**^**"Sloane's A005277 : Nontotients".*The On-Line Encyclopedia of Integer Sequences*. OEIS Foundation. Retrieved 2016-05-30.**^**John D. Cook (5 February 2010). "Carnival of Mathematics #62".