48000

Names of 48000

• Cardinal: 48000 can be written as Forty-eight thousand.

Scientific notation

• Scientific notation: 4.8 × 10⁴

Factors of 48000

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 10

Divisors of 48000

• Number of divisors d(n): 64
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 300 320 375 384 400 480 500 600 640 750 800 960 1000 1200 1500 1600 1920 2000 2400 3000 3200 4000 4800 6000 8000 9600 12000 16000 24000 48000
• Sum of all divisors σ(n): 159120
• Sum of proper divisors (its aliquot sum) s(n): 111120
• 48000 is an abundant number, because the sum of its proper divisors (111120) is greater than itself. Its abundance is 63120

Bases of 48000

• Binary: 1011101110000000₂
• Hexadecimal: 0xBB80
• Base-36: 111C

Squares and roots of 48000

• 48000 squared (48000²) is 2304000000
• 48000 cubed (48000³) is 110592000000000
• The square root of 48000 is 219.0890230021
• The cube root of 48000 is 36.3424118567

Scales and comparisons

• 48,000 seconds is equal to 13 hours, 20 minutes.
• To count from 1 to 48,000 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 48000 cubic inches would be around 3 feet tall.

Recreational maths with 48000

• 48000 backwards is 00084
• 48000 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 48000's digits is 12
• More coming soon!