48409920
48,409,920 is an even composite number composed of five prime numbers multiplied together.
48409920 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 48409920:
26 × 33 × 5 × 13 × 431
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 13 × 431)See below for interesting mathematical facts about the number 48409920 from the Numbermatics database.
Names of 48409920
- Cardinal: 48409920 can be written as Forty-eight million, four hundred nine thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 4.840992 × 107
Factors of 48409920
Divisors of 48409920
- Number of divisors d(n): 224
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 32 36 39 40 45 48 52 54 60 64 65 72 78 80 90 96 104 108 117 120 130 135 144 156 160 180 192 195 208 216 234 240 260 270 288 312 320 351 360 390 416 431 432 468 480 520 540 576 585 624 702 720 780 832 862 864 936 960 1040 1080 1170 1248 1293 1404 1440 1560 1724 1728 1755 1872 2080 2155 2160 2340 2496 2586 2808 2880 3120 3448 3510 3744 3879 4160 4310 4320 4680 5172 5603 5616 6240 6465 6896 7020 7488 7758 8620 8640 9360 10344 11206 11232 11637 12480 12930 13792 14040 15516 16809 17240 18720 19395 20688 22412 22464 23274 25860 27584 28015 28080 31032 33618 34480 37440 38790 41376 44824 46548 50427 51720 56030 56160 58185 62064 67236 68960 77580 82752 84045 89648 93096 100854 103440 112060 112320 116370 124128 134472 137920 151281 155160 168090 179296 186192 201708 206880 224120 232740 248256 252135 268944 302562 310320 336180 358592 372384 403416 413760 448240 465480 504270 537888 605124 620640 672360 744768 756405 806832 896480 930960 1008540 1075776 1210248 1241280 1344720 1512810 1613664 1792960 1861920 2017080 2420496 2689440 3025620 3227328 3723840 4034160 4840992 5378880 6051240 8068320 9681984 12102480 16136640 24204960 48409920
- Sum of all divisors σ(n): 184343040
- Sum of proper divisors (its aliquot sum) s(n): 135933120
- 48409920 is an abundant number, because the sum of its proper divisors (135933120) is greater than itself. Its abundance is 87523200
Bases of 48409920
- Binary: 101110001010101101010000002
- Hexadecimal: 0x2E2AD40
- Base-36: STLC0
Squares and roots of 48409920
- 48409920 squared (484099202) is 2343520354406400
- 48409920 cubed (484099203) is 113449632875185471488000
-
The
square root of 48409920 is 6957.7237657153 -
The
cube root of 48409920 is 364.4557347725
Scales and comparisons
How big is 48409920?- 48,409,920 seconds is equal to 1 year, 28 weeks, 7 hours, 12 minutes.
-
To count from 1 to 48,409,920 would take you about two 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 48409920 cubic inches would be around 30.4 feet tall.
Recreational maths with 48409920
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