2048

Names of 2048

• Cardinal: 2048 can be written as Two thousand and forty-eight.

Scientific notation

• Scientific notation: 2.048 × 10³

Factors of 2048

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 2

Divisors of 2048

• Number of divisors d(n): 12
• Complete list of divisors:
  1 2 4 8 16 32 64 128 256 512 1024 2048
• Sum of all divisors σ(n): 4095
• Sum of proper divisors (its aliquot sum) s(n): 2047
• 2048 is a deficient number, because the sum of its proper divisors (2047) is less than itself. Its deficiency is 1

Bases of 2048

• Binary: 100000000000₂
• Hexadecimal: 0x800
• Base-36: 1KW

Squares and roots of 2048

• 2048 squared (2048²) is 4194304
• 2048 cubed (2048³) is 8589934592
• The square root of 2048 is 45.2548339959
• The cube root of 2048 is 12.6992084155

Scales and comparisons

• 2,048 seconds is equal to 34 minutes, 8 seconds.
• To count from 1 to 2,048 would take you about thirty-four 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 2048 cubic inches would be around 1.1 feet tall.

Recreational maths with 2048

• 2048 backwards is 8402
• The number of decimal digits it has is: 4
• The sum of 2048's digits is 14
• More coming soon!