90828

90,828 is an even composite number composed of three prime numbers multiplied together.

What does the number 90828 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 36 divisors.

90828 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of thirty-six divisors.

Prime factorization of 90828:

2² × 3³ × 29²

(2 × 2 × 3 × 3 × 3 × 29 × 29)

See below for interesting mathematical facts about the number 90828 from the Numbermatics database.

Names of 90828

Cardinal: 90828 can be written as Ninety thousand, eight hundred twenty-eight.

Scientific notation

Scientific notation: 9.0828 × 10⁴

Factors of 90828

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 7
Sum of prime factors: 34

Divisors of 90828

Number of divisors d(n): 36
Complete list of divisors:
1 2 3 4 6 9 12 18 27 29 36 54 58 87 108 116 174 261 348 522 783 841 1044 1566 1682 2523 3132 3364 5046 7569 10092 15138 22707 30276 45414 90828
Sum of all divisors σ(n): 243880
Sum of proper divisors (its aliquot sum) s(n): 153052
90828 is an abundant number, because the sum of its proper divisors (153052) is greater than itself. Its abundance is 62224

Bases of 90828

Binary: 10110001011001100₂
Hexadecimal: 0x162CC
Base-36: 1Y30

Squares and roots of 90828

90828 squared (90828²) is 8249725584
90828 cubed (90828³) is 749306075343552
The square root of 90828 is 301.3768405167
The cube root of 90828 is 44.9510579009

Scales and comparisons

How big is 90828?

90,828 seconds is equal to 1 day, 1 hour, 13 minutes, 48 seconds.
To count from 1 to 90,828 would take you about thirteen 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 90828 cubic inches would be around 3.7 feet tall.

Recreational maths with 90828

90828 backwards is 82809
90828 is a Harshad number.
The number of decimal digits it has is: 5
The sum of 90828's digits is 27
More coming soon!

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The information we have on file for 90828 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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