948428000
948,428,000 is an even composite number composed of five prime numbers multiplied together.
948428000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 948428000:
25 × 53 × 132 × 23 × 61
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 13 × 13 × 23 × 61)See below for interesting mathematical facts about the number 948428000 from the Numbermatics database.
Names of 948428000
- Cardinal: 948428000 can be written as Nine hundred forty-eight million, four hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 9.48428 × 108
Factors of 948428000
Divisors of 948428000
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 4 5 8 10 13 16 20 23 25 26 32 40 46 50 52 61 65 80 92 100 104 115 122 125 130 160 169 184 200 208 230 244 250 260 299 305 325 338 368 400 416 460 488 500 520 575 598 610 650 676 736 793 800 845 920 976 1000 1040 1150 1196 1220 1300 1352 1403 1495 1525 1586 1625 1690 1840 1952 2000 2080 2300 2392 2440 2600 2704 2806 2875 2990 3050 3172 3250 3380 3680 3887 3965 4000 4225 4600 4784 4880 5200 5408 5612 5750 5980 6100 6344 6500 6760 7015 7475 7625 7774 7930 8450 9200 9568 9760 10309 10400 11224 11500 11960 12200 12688 13000 13520 14030 14950 15250 15548 15860 16900 18239 18400 19435 19825 20618 21125 22448 23000 23920 24400 25376 26000 27040 28060 29900 30500 31096 31720 33800 35075 36478 37375 38870 39650 41236 42250 44896 46000 47840 48800 51545 52000 56120 59800 61000 62192 63440 67600 70150 72956 74750 77740 79300 82472 84500 91195 92000 97175 99125 103090 112240 119600 122000 124384 126880 135200 140300 145912 149500 155480 158600 164944 169000 175375 182390 194350 198250 206180 224480 237107 239200 244000 257725 280600 291824 299000 310960 317200 329888 338000 350750 364780 388700 396500 412360 455975 474214 485875 515450 561200 583648 598000 621920 634400 676000 701500 729560 777400 793000 824720 911950 948428 971750 1030900 1122400 1185535 1196000 1288625 1403000 1459120 1554800 1586000 1649440 1823900 1896856 1943500 2061800 2279875 2371070 2577250 2806000 2918240 3109600 3172000 3647800 3793712 3887000 4123600 4559750 4742140 5154500 5612000 5927675 7295600 7587424 7774000 8247200 9119500 9484280 10309000 11855350 14591200 15548000 18239000 18968560 20618000 23710700 29638375 36478000 37937120 41236000 47421400 59276750 72956000 94842800 118553500 189685600 237107000 474214000 948428000
- Sum of all divisors σ(n): 2676203712
- Sum of proper divisors (its aliquot sum) s(n): 1727775712
- 948428000 is an abundant number, because the sum of its proper divisors (1727775712) is greater than itself. Its abundance is 779347712
Bases of 948428000
- Binary: 1110001000011111011100111000002
- Hexadecimal: 0x3887DCE0
- Base-36: FOO3Q8
Squares and roots of 948428000
- 948428000 squared (9484280002) is 899515671184000000
- 948428000 cubed (9484280003) is 853125848989698752000000000
-
The
square root of 948428000 is 30796.5582492589 -
The
cube root of 948428000 is 982.5050447893
Scales and comparisons
How big is 948428000?- 948,428,000 seconds is equal to 30 years, 8 weeks, 1 day, 4 hours, 13 minutes, 20 seconds.
-
To count from 1 to 948,428,000 would take you about forty-five 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 948428000 cubic inches would be around 81.9 feet tall.
Recreational maths with 948428000
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 948428000 - Facts about the integer". Numbermatics.com. 2024. Web. 12 May 2024.
APA style:
Numbermatics. (2024). Number 948428000 - Facts about the integer. Retrieved 12 May 2024, from https://numbermatics.com/n/948428000/
Chicago style:
Numbermatics. 2024. "Number 948428000 - Facts about the integer". https://numbermatics.com/n/948428000/
The information we have on file for 948428000 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!
Keywords: Divisors of 948428000, math, Factors of 948428000, curriculum, school, college, exams, university, Prime factorization of 948428000, STEM, science, technology, engineering, physics, economics, calculator, nine hundred forty-eight million, four hundred twenty-eight thousand.