48384

48,384 is an even composite number composed of three prime numbers multiplied together.

What does the number 48384 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 72 divisors.

48384 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of seventy-two divisors.

Prime factorization of 48384:

28 × 33 × 7

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7)

See below for interesting mathematical facts about the number 48384 from the Numbermatics database.

Names of 48384

• Cardinal: 48384 can be written as Forty-eight thousand, three hundred eighty-four.

Scientific notation

• Scientific notation: 4.8384 × 104

Factors of 48384

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 12

Divisors of 48384

• Number of divisors d(n): 72
• Complete list of divisors:
• Sum of all divisors σ(n): 163520
• Sum of proper divisors (its aliquot sum) s(n): 115136
• 48384 is an abundant number, because the sum of its proper divisors (115136) is greater than itself. Its abundance is 66752

Bases of 48384

• Binary: 10111101000000002
• Base-36: 11C0

Squares and roots of 48384

• 48384 squared (483842) is 2341011456
• 48384 cubed (483843) is 113267498287104
• The square root of 48384 is 219.9636333579
• The cube root of 48384 is 36.4390676625

Scales and comparisons

How big is 48384?
• 48,384 seconds is equal to 13 hours, 26 minutes, 24 seconds.
• To count from 1 to 48,384 would take you about thirteen hours.

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 48384 cubic inches would be around 3 feet tall.

Recreational maths with 48384

• 48384 is the same when its digits are reversed! That makes it a palindromic number.
• 48384 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 48384's digits is 27
• More coming soon!