468928

468,928 is an even composite number composed of three prime numbers multiplied together.

What does the number 468928 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 28 divisors.

468928 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty-eight divisors.

Prime factorization of 468928:

2⁶ × 17 × 431

(2 × 2 × 2 × 2 × 2 × 2 × 17 × 431)

See below for interesting mathematical facts about the number 468928 from the Numbermatics database.

Names of 468928

Cardinal: 468928 can be written as Four hundred sixty-eight thousand, nine hundred twenty-eight.

Scientific notation

Scientific notation: 4.68928 × 10⁵

Factors of 468928

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 8
Sum of prime factors: 450

Divisors of 468928

Number of divisors d(n): 28
Complete list of divisors:
1 2 4 8 16 17 32 34 64 68 136 272 431 544 862 1088 1724 3448 6896 7327 13792 14654 27584 29308 58616 117232 234464 468928
Sum of all divisors σ(n): 987552
Sum of proper divisors (its aliquot sum) s(n): 518624
468928 is an abundant number, because the sum of its proper divisors (518624) is greater than itself. Its abundance is 49696

Bases of 468928

Binary: 1110010011111000000₂
Hexadecimal: 0x727C0
Base-36: A1TS

Squares and roots of 468928

468928 squared (468928²) is 219893469184
468928 cubed (468928³) is 103114204717514752
The square root of 468928 is 684.7831773635
The cube root of 468928 is 77.6906440691

Scales and comparisons

How big is 468928?

468,928 seconds is equal to 5 days, 10 hours, 15 minutes, 28 seconds.
To count from 1 to 468,928 would take you about five days.

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 468928 cubic inches would be around 6.5 feet tall.

Recreational maths with 468928

468928 backwards is 829864
The number of decimal digits it has is: 6
The sum of 468928's digits is 37
More coming soon!

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The information we have on file for 468928 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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