45948

45,948 is an even composite number composed of four prime numbers multiplied together.

What does the number 45948 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 24 divisors.

45948 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of twenty-four divisors.

Prime factorization of 45948:

2² × 3 × 7 × 547

(2 × 2 × 3 × 7 × 547)

See below for interesting mathematical facts about the number 45948 from the Numbermatics database.

Names of 45948

Cardinal: 45948 can be written as Forty-five thousand, nine hundred forty-eight.

Scientific notation

Scientific notation: 4.5948 × 10⁴

Factors of 45948

Number of distinct prime factors ω(n): 4
Total number of prime factors Ω(n): 5
Sum of prime factors: 559

Divisors of 45948

Number of divisors d(n): 24
Complete list of divisors:
1 2 3 4 6 7 12 14 21 28 42 84 547 1094 1641 2188 3282 3829 6564 7658 11487 15316 22974 45948
Sum of all divisors σ(n): 122752
Sum of proper divisors (its aliquot sum) s(n): 76804
45948 is an abundant number, because the sum of its proper divisors (76804) is greater than itself. Its abundance is 30856

Bases of 45948

Binary: 1011001101111100₂
Hexadecimal: 0xB37C
Base-36: ZGC

Squares and roots of 45948

45948 squared (45948²) is 2111218704
45948 cubed (45948³) is 97006277011392
The square root of 45948 is 214.3548459915
The cube root of 45948 is 35.8169722797

Scales and comparisons

How big is 45948?

45,948 seconds is equal to 12 hours, 45 minutes, 48 seconds.
To count from 1 to 45,948 would take you about twelve hours.

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 45948 cubic inches would be around 3 feet tall.

Recreational maths with 45948

45948 backwards is 84954
The number of decimal digits it has is: 5
The sum of 45948's digits is 30
More coming soon!

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The information we have on file for 45948 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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