62 (number)

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

In mathematics

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 (222₅), 30 (22₃₀) and 61 (11₆₁)
• 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 science

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

In other fields

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

Sigmund Freud had an irrational fear of the number 62.^[3]

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