48 (number) - Wikipedia
- ️Sat Nov 09 2019
From Wikipedia, the free encyclopedia
| |||
---|---|---|---|
Cardinal | forty-eight | ||
Ordinal | 48th (forty-eighth) | ||
Factorization | 24 × 3 | ||
Divisors | 1, 2, 3, 4, 6, 8, 12, 16, 24, 48 | ||
Greek numeral | ΜΗ´ | ||
Roman numeral | XLVIII, xlviii | ||
Binary | 1100002 | ||
Ternary | 12103 | ||
Senary | 1206 | ||
Octal | 608 | ||
Duodecimal | 4012 | ||
Hexadecimal | 3016 |
48 (forty-eight) is the natural number following 47 and preceding 49. It is one third of a gross, or four dozens.
48 is a highly composite number, and a Størmer number.[1]
By a classical result of Honsberger, the number of incongruent integer-sided triangles of perimeter is given by the equations
for even
, and
for odd
.[2]
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.
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.[3]
- '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 (Arabic: عرب ٤٨, romanized: ‘Arab Thamāniya wa-Arba‘īn).
- ^ Sloane, N. J. A. (ed.). "Sequence A002182 (Highly composite numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ East, James; Niles, Ron (2019). "Integer polygons of given perimeter". Bulletin of the Australian Mathematical Society. 100 (1). Canberra: Australian Mathematical Society: 131–147. arXiv:1710.11245. doi:10.1017/S0004972718001612. MR 3977311. S2CID 119729735. Zbl 1420.52014.
- ^ "Chinese Numerology: Lucky and Unlucky Numbers Meaning". My Today's Horoscope. 2019-11-09. Retrieved 2021-09-20.