48 (
forty-eight) is the
natural number following
47 and preceding
49.
It is one third of a
gross or four
dozens.
In mathematics
Forty-eight is a
double factorial of
6, a
highly
composite number. Like all other multiples of 6, it is a
semiperfect number. 48 is the
second 17-
gonal number.
48 is the first number of the form (2
^{4}.q) and is in
abundance having an aliquot sum of 76. It is the lowest
composite number to fall into the
41-aliquot tree having the 7 aliquot number sequence,(48, 76 , 64,
63, 41, 1, 0). 48 is highly abundant with an aliquot sum 158%
higher than itself.
48 is the smallest number with exactly ten
divisors.
There are 11 solutions to the equation
φ(
x) = 48, namely 65, 104,
105, 112, 130, 140, 144, 156, 168, 180 and 210. This is more than
any integer below 48, making 48 a
highly totient number.
Since the greatest prime factor of 48
^{2} + 1 = 2305 is
461, which is clearly more than 48 twice, 48 is a
Størmer number.
48 is in base 10 a
Harshad number. It
has 24, 2, 12,and 4 as factors.
In science
Astronomy
In religion
In music
In sports
In other fields
Forty-eight may also refer to:
Historical years
48 A.D.,
48
B.C.,
1848,
1948,
2048, etc.