48 (number) facts for kids
Quick facts for kids
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Cardinal | forty-eight | |||
Ordinal | 48th (forty-eighth) |
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Factorization | 24× 3 | |||
Divisors | 1, 2, 3, 4, 6, 8, 12, 16, 24, 48 | |||
Greek numeral | ΜΗ´ | |||
Roman numeral | XLVIII | |||
Binary | 1100002 | |||
Ternary | 12103 | |||
Senary | 1206 | |||
Octal | 608 | |||
Duodecimal | 4012 | |||
Hexadecimal | 3016 |
48 (forty-eight) is a natural number. It comes right after 47 and before 49. Think of it as four dozens, since a dozen is 12. So, 4 times 12 equals 48.
You might also know that 48 hours is the same as 2 days.
Contents
What Makes 48 Special in Math?
The number 48 is quite interesting in mathematics. It is a highly composite number. This means it has more divisors than any smaller number. Its divisors are 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48. That's ten divisors in total!
48 is also a semiperfect number. This means some of its divisors (like 2, 4, 6, 8, 12, 16) can add up to 48.
How Many Ways Can You Make 48?
There are 11 different numbers that, when put into a special math function called Euler's totient function, give you 48. These numbers are 65, 104, 105, 112, 130, 140, 144, 156, 168, 180, and 210. Because 48 has more of these "solutions" than any smaller number, it's called a highly totient number.
48 and Other Math Facts
- 48 is a Harshad number in base 10. This means it can be divided evenly by the sum of its digits (4 + 8 = 12, and 48 divided by 12 is 4).
- It is also a Størmer number. This is a special type of number related to its prime factors.
48 in Science and Space
Science Facts About 48
- The atomic number of the metal cadmium is 48.
- In ancient times, the astronomer Ptolemy listed 48 different constellations.
- A cube has 48 different ways it can be rotated or flipped while still looking the same. These are called its symmetries.
48 in Astronomy
- There is an open star cluster called M48. It is found in the constellation Hydra.
- Another space object, a barred spiral galaxy, is named NGC 48. You can find it in the constellation Andromeda.
48 in Religion
- In Jewish tradition, it is believed that the prophecies of 48 Jewish prophets and 7 prophetesses were written down in the Tanakh (the Hebrew Bible).
- The Talmud (a collection of Jewish teachings) mentions that there are 48 ways to gain wisdom from the Torah (Jewish law).
- In Buddhism, Amitabha Buddha is said to have made 48 great promises. These promises were to help all living beings find peace and happiness.