48 (number)

← 47 48 49 →
← 40 41 42 43 44 45 46 47 48 49 → List of numbers Integers ← 0 10 20 30 40 50 60 70 80 90 →
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 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.

In other fields

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 (Arabic: عرب ٤٨, romanized: ‘Arab Thamāniya wa-Arba‘īn).