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48 (number) facts for kids

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Quick facts for kids
47 48 49
Cardinal forty-eight
Ordinal 48th
(forty-eighth)
Factorization 24· 3
Divisors 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Roman numeral XLVIII
Binary 1100002
Ternary 12103
Quaternary 3004
Quinary 1435
Senary 1206
Octal 608
Duodecimal 4012
Hexadecimal 3016
Vigesimal 2820
Base 36 1C36

48 (forty-eight) is the natural number following 47 and preceding 49. It is one third of a gross, or four dozens.

48 hours equals 2 days.

In mathematics

Forty-eight is the 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 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 482 + 1 = 2305 is 461, which is clearly more than twice 48, 48 is a Størmer number.

48 is a Harshad number in base 10. It has 24, 2, 12, and 4 as factors.

In science

Astronomy

In religion

  • The prophecies of 48 Jewish prophets and 7 prophetesses were recorded in the Tanakh for posterity.
  • According to the Mishnah, Torah wisdom is acquired via 48 ways (Pirkei Avoth 6:6).
  • In Buddhism, Amitabha Buddha had made 48 great vows and promises to provide ultimate salvation to countless beings through countless eons, with benefits said to be available merely by thinking about his name with Nianfo practice. He is thus hailed as "King of Buddhas" through such skillful compassion and became a popular and formal refuge figure in Pureland Buddhism.
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