490081248
490,081,248 is an even composite number composed of five prime numbers multiplied together.
What does the number 490081248 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 144 divisors.
490081248 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 490081248:
25 × 32 × 53 × 97 × 331
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 53 × 97 × 331)See below for interesting mathematical facts about the number 490081248 from the Numbermatics database.
Names of 490081248
- Cardinal: 490081248 can be written as Four hundred ninety million, eighty-one thousand, two hundred forty-eight.
Scientific notation
- Scientific notation: 4.90081248 × 108
Factors of 490081248
Divisors of 490081248
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 72 96 97 106 144 159 194 212 288 291 318 331 388 424 477 582 636 662 776 848 873 954 993 1164 1272 1324 1552 1696 1746 1908 1986 2328 2544 2648 2979 3104 3492 3816 3972 4656 5088 5141 5296 5958 6984 7632 7944 9312 10282 10592 11916 13968 15264 15423 15888 17543 20564 23832 27936 30846 31776 32107 35086 41128 46269 47664 52629 61692 64214 70172 82256 92538 95328 96321 105258 123384 128428 140344 157887 164512 185076 192642 210516 246768 256856 280688 288963 315774 370152 385284 421032 493536 513712 561376 577926 631548 740304 770568 842064 1027424 1155852 1263096 1480608 1541136 1684128 1701671 2311704 2526192 3082272 3403342 4623408 5052384 5105013 6806684 9246816 10210026 13613368 15315039 20420052 27226736 30630078 40840104 54453472 61260156 81680208 122520312 163360416 245040624 490081248
- Sum of all divisors σ(n): 1438937136
- Sum of proper divisors (its aliquot sum) s(n): 948855888
- 490081248 is an abundant number, because the sum of its proper divisors (948855888) is greater than itself. Its abundance is 458774640
Bases of 490081248
- Binary: 111010011011000001011111000002
- Hexadecimal: 0x1D360BE0
- Base-36: 83S540
Squares and roots of 490081248
- 490081248 squared (4900812482) is 240179629641237504
- 490081248 cubed (4900812483) is 117707532638755468224724992
-
The
square root of 490081248 is 22137.7787503625 -
The
cube root of 490081248 is 788.4170878965
Scales and comparisons
How big is 490081248?- 490,081,248 seconds is equal to 15 years, 30 weeks, 2 days, 5 hours, 40 minutes, 48 seconds.
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To count from 1 to 490,081,248 would take you about twenty-three 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 490081248 cubic inches would be around 65.7 feet tall.
Recreational maths with 490081248
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