972028480
972,028,480 is an even composite number composed of five prime numbers multiplied together.
972028480 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twelve divisors.
Prime factorization of 972028480:
26 × 5 × 37 × 53 × 1549
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 37 × 53 × 1549)See below for interesting mathematical facts about the number 972028480 from the Numbermatics database.
Names of 972028480
- Cardinal: 972028480 can be written as Nine hundred seventy-two million, twenty-eight thousand, four hundred eighty.
Scientific notation
- Scientific notation: 9.7202848 × 108
Factors of 972028480
Divisors of 972028480
- Number of divisors d(n): 112
-
Complete list of divisors:
1 2 4 5 8 10 16 20 32 37 40 53 64 74 80 106 148 160 185 212 265 296 320 370 424 530 592 740 848 1060 1184 1480 1549 1696 1961 2120 2368 2960 3098 3392 3922 4240 5920 6196 7745 7844 8480 9805 11840 12392 15490 15688 16960 19610 24784 30980 31376 39220 49568 57313 61960 62752 78440 82097 99136 114626 123920 125504 156880 164194 229252 247840 286565 313760 328388 410485 458504 495680 573130 627520 656776 820970 917008 1146260 1313552 1641940 1834016 2292520 2627104 3037589 3283880 3668032 4585040 5254208 6075178 6567760 9170080 12150356 13135520 15187945 18340160 24300712 26271040 30375890 48601424 60751780 97202848 121503560 194405696 243007120 486014240 972028480
- Sum of all divisors σ(n): 2423617200
- Sum of proper divisors (its aliquot sum) s(n): 1451588720
- 972028480 is an abundant number, because the sum of its proper divisors (1451588720) is greater than itself. Its abundance is 479560240
Bases of 972028480
- Binary: 1110011110111111111010010000002
- Hexadecimal: 0x39EFFA40
- Base-36: G2PXZ4
Squares and roots of 972028480
- 972028480 squared (9720284802) is 944839365931110400
- 972028480 cubed (9720284803) is 918410772710181026824192000
-
The
square root of 972028480 is 31177.3712811071 -
The
cube root of 972028480 is 990.5878493567
Scales and comparisons
How big is 972028480?- 972,028,480 seconds is equal to 30 years, 47 weeks, 1 day, 7 hours, 54 minutes, 40 seconds.
-
To count from 1 to 972,028,480 would take you about forty-six 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 972028480 cubic inches would be around 82.5 feet tall.
Recreational maths with 972028480
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