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48 (number)
| Field | Value |
|---|---|
| number | 48 |
| divisor | 1, 2, 3, 4, 6, 8, 12, 16, 24, 48 |
48 (forty-eight) is the natural number following 47 and preceding 49. It is one third of a gross, or four dozen.
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 \tfrac {m^2}{48} for even m, and \tfrac{(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 ().
References
References
- {{Cite OEIS. A002182. Highly composite numbers
- (2019). "Integer polygons of given perimeter". [[Australian Mathematical Society]].
- (2019-11-09). "Chinese Numerology: Lucky and Unlucky Numbers Meaning".
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