448 is an even composite number composed of two prime numbers multiplied together.

What does the number 448 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 14 divisors.

448 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of fourteen divisors.

Prime factorization of 448:

26 × 7

(2 × 2 × 2 × 2 × 2 × 2 × 7)

See below for interesting mathematical facts about the number 448 from the Numbermatics database.

Names of 448

  • Cardinal: 448 can be written as Four hundred forty-eight.

Scientific notation

  • Scientific notation: 4.48 × 102

Factors of 448

  • Number of distinct prime factors ω(n): 2
  • Total number of prime factors Ω(n): 7
  • Sum of prime factors: 9

Divisors of 448

  • Number of divisors d(n): 14
  • Complete list of divisors:
  • Sum of all divisors σ(n): 1016
  • Sum of proper divisors (its aliquot sum) s(n): 568
  • 448 is an abundant number, because the sum of its proper divisors (568) is greater than itself. Its abundance is 120

Bases of 448

  • Binary: 1110000002
  • Hexadecimal: 0x1C0
  • Base-36: CG

Squares and roots of 448

  • 448 squared (4482) is 200704
  • 448 cubed (4483) is 89915392
  • The square root of 448 is 21.1660104885
  • The cube root of 448 is 7.6517247311

Scales and comparisons

How big is 448?
  • 448 seconds is equal to 7 minutes, 28 seconds.
  • To count from 1 to 448 would take you about three minutes.

    This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

  • A cube with a volume of 448 cubic inches would be around 0.6 feet tall.

Recreational maths with 448

  • 448 backwards is 844
  • 448 is a Harshad number.
  • The number of decimal digits it has is: 3
  • The sum of 448's digits is 16
  • More coming soon!

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"Number 448 - Facts about the integer". Numbermatics.com. 2023. Web. 9 December 2023.

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Numbermatics. (2023). Number 448 - Facts about the integer. Retrieved 9 December 2023, from https://numbermatics.com/n/448/

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Numbermatics. 2023. "Number 448 - Facts about the integer". https://numbermatics.com/n/448/

The information we have on file for 448 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!

Keywords: Divisors of 448, math, Factors of 448, curriculum, school, college, exams, university, Prime factorization of 448, STEM, science, technology, engineering, physics, economics, calculator, four hundred forty-eight.

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