42748800
42,748,800 is an even composite number composed of five prime numbers multiplied together.
42748800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 42748800:
27 × 3 × 52 × 61 × 73
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 61 × 73)See below for interesting mathematical facts about the number 42748800 from the Numbermatics database.
Names of 42748800
- Cardinal: 42748800 can be written as Forty-two million, seven hundred forty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 4.27488 × 107
Factors of 42748800
Divisors of 42748800
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 61 64 73 75 80 96 100 120 122 128 146 150 160 183 192 200 219 240 244 292 300 305 320 365 366 384 400 438 480 488 584 600 610 640 730 732 800 876 915 960 976 1095 1168 1200 1220 1460 1464 1525 1600 1752 1825 1830 1920 1952 2190 2336 2400 2440 2920 2928 3050 3200 3504 3650 3660 3904 4380 4453 4575 4672 4800 4880 5475 5840 5856 6100 7008 7300 7320 7808 8760 8906 9150 9344 9600 9760 10950 11680 11712 12200 13359 14016 14600 14640 17520 17812 18300 19520 21900 22265 23360 23424 24400 26718 28032 29200 29280 35040 35624 36600 39040 43800 44530 46720 48800 53436 58400 58560 66795 70080 71248 73200 87600 89060 97600 106872 111325 116800 117120 133590 140160 142496 146400 175200 178120 195200 213744 222650 233600 267180 284992 292800 333975 350400 356240 427488 445300 534360 569984 585600 667950 700800 712480 854976 890600 1068720 1335900 1424960 1709952 1781200 2137440 2671800 2849920 3562400 4274880 5343600 7124800 8549760 10687200 14249600 21374400 42748800
- Sum of all divisors σ(n): 145072560
- Sum of proper divisors (its aliquot sum) s(n): 102323760
- 42748800 is an abundant number, because the sum of its proper divisors (102323760) is greater than itself. Its abundance is 59574960
Bases of 42748800
- Binary: 101000110001001011100000002
- Hexadecimal: 0x28C4B80
- Base-36: PG96O
Squares and roots of 42748800
- 42748800 squared (427488002) is 1827459901440000
- 42748800 cubed (427488003) is 78121717834678272000000
-
The
square root of 42748800 is 6538.2566483735 -
The
cube root of 42748800 is 349.6562611603
Scales and comparisons
How big is 42748800?- 42,748,800 seconds is equal to 1 year, 18 weeks, 4 days, 18 hours, 40 minutes.
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To count from 1 to 42,748,800 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 42748800 cubic inches would be around 29.1 feet tall.
Recreational maths with 42748800
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The information we have on file for 42748800 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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