48106800
48,106,800 is an even composite number composed of six prime numbers multiplied together.
48106800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred sixty divisors.
Prime factorization of 48106800:
24 × 32 × 52 × 7 × 23 × 83
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 23 × 83)See below for interesting mathematical facts about the number 48106800 from the Numbermatics database.
Names of 48106800
- Cardinal: 48106800 can be written as Forty-eight million, one hundred six thousand, eight hundred.
Scientific notation
- Scientific notation: 4.81068 × 107
Factors of 48106800
Divisors of 48106800
- Number of divisors d(n): 360
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 23 24 25 28 30 35 36 40 42 45 46 48 50 56 60 63 69 70 72 75 80 83 84 90 92 100 105 112 115 120 126 138 140 144 150 161 166 168 175 180 184 200 207 210 225 230 240 249 252 276 280 300 315 322 332 336 345 350 360 368 400 414 415 420 450 460 483 498 504 525 552 560 575 581 600 630 644 664 690 700 720 747 805 828 830 840 900 920 966 996 1008 1035 1050 1104 1150 1162 1200 1245 1260 1288 1328 1380 1400 1449 1494 1575 1610 1656 1660 1680 1725 1743 1800 1840 1909 1932 1992 2070 2075 2100 2300 2324 2415 2490 2520 2576 2760 2800 2898 2905 2988 3150 3220 3312 3320 3450 3486 3600 3735 3818 3864 3984 4025 4140 4150 4200 4600 4648 4830 4980 5040 5175 5229 5520 5727 5796 5810 5976 6225 6300 6440 6640 6900 6972 7245 7470 7636 7728 8050 8280 8300 8400 8715 9200 9296 9545 9660 9960 10350 10458 11454 11592 11620 11952 12075 12450 12600 12880 13363 13800 13944 14490 14525 14940 15272 16100 16560 16600 17181 17430 18675 19090 19320 19920 20700 20916 22908 23184 23240 24150 24900 25200 26145 26726 27600 27888 28635 28980 29050 29880 30544 32200 33200 34362 34860 36225 37350 38180 38640 40089 41400 41832 43575 45816 46480 47725 48300 49800 52290 53452 57270 57960 58100 59760 64400 66815 68724 69720 72450 74700 76360 80178 82800 83664 85905 87150 91632 95450 96600 99600 104580 106904 114540 115920 116200 120267 130725 133630 137448 139440 143175 144900 149400 152720 160356 171810 174300 190900 193200 200445 209160 213808 229080 232400 240534 261450 267260 274896 286350 289800 298800 320712 334075 343620 348600 381800 400890 418320 429525 458160 481068 522900 534520 572700 579600 601335 641424 668150 687240 697200 763600 801780 859050 962136 1002225 1045800 1069040 1145400 1202670 1336300 1374480 1603560 1718100 1924272 2004450 2091600 2290800 2405340 2672600 3006675 3207120 3436200 4008900 4810680 5345200 6013350 6872400 8017800 9621360 12026700 16035600 24053400 48106800
- Sum of all divisors σ(n): 201487104
- Sum of proper divisors (its aliquot sum) s(n): 153380304
- 48106800 is an abundant number, because the sum of its proper divisors (153380304) is greater than itself. Its abundance is 105273504
Bases of 48106800
- Binary: 101101111000001101001100002
- Hexadecimal: 0x2DE0D30
- Base-36: SN3G0
Squares and roots of 48106800
- 48106800 squared (481068002) is 2314264206240000
- 48106800 cubed (481068003) is 111331845316746432000000
-
The
square root of 48106800 is 6935.9065737653 -
The
cube root of 48106800 is 363.6934584593
Scales and comparisons
How big is 48106800?- 48,106,800 seconds is equal to 1 year, 27 weeks, 3 days, 19 hours.
-
To count from 1 to 48,106,800 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 48106800 cubic inches would be around 30.3 feet tall.
Recreational maths with 48106800
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 48106800 - Facts about the integer". Numbermatics.com. 2024. Web. 14 May 2024.
APA style:
Numbermatics. (2024). Number 48106800 - Facts about the integer. Retrieved 14 May 2024, from https://numbermatics.com/n/48106800/
Chicago style:
Numbermatics. 2024. "Number 48106800 - Facts about the integer". https://numbermatics.com/n/48106800/
The information we have on file for 48106800 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 48106800, math, Factors of 48106800, curriculum, school, college, exams, university, Prime factorization of 48106800, STEM, science, technology, engineering, physics, economics, calculator, forty-eight million, one hundred six thousand, eight hundred.