972828800

972,828,800 is an even composite number composed of three prime numbers multiplied together.

What does the number 972828800 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 48 divisors.

972828800 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of forty-eight divisors.

Prime factorization of 972828800:

2⁷ × 5² × 304009

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 304009)

See below for interesting mathematical facts about the number 972828800 from the Numbermatics database.

Names of 972828800

Cardinal: 972828800 can be written as Nine hundred seventy-two million, eight hundred twenty-eight thousand, eight hundred.

Scientific notation

Scientific notation: 9.728288 × 10⁸

Factors of 972828800

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 10
Sum of prime factors: 304016

Divisors of 972828800

Number of divisors d(n): 48
Complete list of divisors:
1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 1600 3200 304009 608018 1216036 1520045 2432072 3040090 4864144 6080180 7600225 9728288 12160360 15200450 19456576 24320720 30400900 38913152 48641440 60801800 97282880 121603600 194565760 243207200 486414400 972828800
Sum of all divisors σ(n): 2403199050
Sum of proper divisors (its aliquot sum) s(n): 1430370250
972828800 is an abundant number, because the sum of its proper divisors (1430370250) is greater than itself. Its abundance is 457541450

Bases of 972828800

Binary: 111001111111000011000010000000₂
Hexadecimal: 0x39FC3080
Base-36: G373I8

Squares and roots of 972828800

972828800 squared (972828800²) is 946395874109440000
972828800 cubed (972828800³) is 920681162534837583872000000
The square root of 972828800 is 31190.2035902301
The cube root of 972828800 is 990.8596417313

Scales and comparisons

How big is 972828800?

972,828,800 seconds is equal to 30 years, 48 weeks, 3 days, 14 hours, 13 minutes, 20 seconds.
To count from 1 to 972,828,800 would take you about forty-six years!

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 972828800 cubic inches would be around 82.6 feet tall.

Recreational maths with 972828800

972828800 backwards is 008828279
The number of decimal digits it has is: 9
The sum of 972828800's digits is 44
More coming soon!

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The information we have on file for 972828800 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!

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