48 (number)

Template:Infobox number 48 (forty-eight) is the natural number following 47 and preceding 49. It is one third of a gross, or four dozens.

In mathematics

48 is a highly composite number, and a Størmer number.

By a classical result of Honsberger, the number of incongruent integer-sided triangles of perimeter $m$ is given by the equations $\frac{m^2}{48}$ for even $m$, and $\frac{(m+3{)}^2}{48}$ for odd $m$.

48 is the order of full octahedral symmetry, which describes three-dimensional mirror symmetries associated with the regular octahedron and cube.

There are 48 symmetries of a cube.

In other fields

Forty-eight may also refer to:

• In Chinese numerology, 48 is an auspicious number meaning 'determined to prosper', or simply 'prosperity', which is good for business.
• '48 is a slang term in Palestinian Arabic for parts of Israel or Palestine not under the control of the State of Palestine. Arab people from those parts are colloquially known as 48-Arabs (Template:Langx).