513152

513,152 is an even composite number composed of three prime numbers multiplied together.

What does the number 513152 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 32 divisors.

513152 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of thirty-two divisors.

Prime factorization of 513152:

2⁷ × 19 × 211

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 19 × 211)

See below for interesting mathematical facts about the number 513152 from the Numbermatics database.

Names of 513152

Cardinal: 513152 can be written as Five hundred thirteen thousand, one hundred fifty-two.

Scientific notation

Scientific notation: 5.13152 × 10⁵

Factors of 513152

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 9
Sum of prime factors: 232

Divisors of 513152

Number of divisors d(n): 32
Complete list of divisors:
1 2 4 8 16 19 32 38 64 76 128 152 211 304 422 608 844 1216 1688 2432 3376 4009 6752 8018 13504 16036 27008 32072 64144 128288 256576 513152
Sum of all divisors σ(n): 1081200
Sum of proper divisors (its aliquot sum) s(n): 568048
513152 is an abundant number, because the sum of its proper divisors (568048) is greater than itself. Its abundance is 54896

Bases of 513152

Binary: 1111101010010000000₂
Hexadecimal: 0x7D480
Base-36: AZY8

Squares and roots of 513152

513152 squared (513152²) is 263324975104
513152 cubed (513152³) is 135125737624567808
The square root of 513152 is 716.3462849767
The cube root of 513152 is 80.0599550561

Scales and comparisons

How big is 513152?

513,152 seconds is equal to 5 days, 22 hours, 32 minutes, 32 seconds.
To count from 1 to 513,152 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 513152 cubic inches would be around 6.7 feet tall.

Recreational maths with 513152

513152 backwards is 251315
The number of decimal digits it has is: 6
The sum of 513152's digits is 17
More coming soon!

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The information we have on file for 513152 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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