48148100
48,148,100 is an even composite number composed of six prime numbers multiplied together.
48148100 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 48148100:
22 × 52 × 7 × 11 × 132 × 37
(2 × 2 × 5 × 5 × 7 × 11 × 13 × 13 × 37)See below for interesting mathematical facts about the number 48148100 from the Numbermatics database.
Names of 48148100
- Cardinal: 48148100 can be written as Forty-eight million, one hundred forty-eight thousand, one hundred.
Scientific notation
- Scientific notation: 4.81481 × 107
Factors of 48148100
Divisors of 48148100
- Number of divisors d(n): 216
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Complete list of divisors:
1 2 4 5 7 10 11 13 14 20 22 25 26 28 35 37 44 50 52 55 65 70 74 77 91 100 110 130 140 143 148 154 169 175 182 185 220 259 260 275 286 308 325 338 350 364 370 385 407 455 481 518 550 572 650 676 700 715 740 770 814 845 910 925 962 1001 1036 1100 1183 1295 1300 1430 1540 1628 1690 1820 1850 1859 1924 1925 2002 2035 2275 2366 2405 2590 2849 2860 3367 3380 3575 3700 3718 3850 4004 4070 4225 4550 4732 4810 5005 5180 5291 5698 5915 6253 6475 6734 7150 7436 7700 8140 8450 9100 9295 9620 10010 10175 10582 11396 11830 12025 12506 12950 13013 13468 14245 14300 16835 16900 18590 20020 20350 21164 23660 24050 25012 25025 25900 26026 26455 28490 29575 31265 33670 37037 37180 40700 43771 46475 48100 50050 52052 52910 56980 59150 62530 65065 67340 68783 71225 74074 84175 87542 92950 100100 105820 118300 125060 130130 132275 137566 142450 148148 156325 168350 175084 185185 185900 218855 260260 264550 275132 284900 312650 325325 336700 343915 370370 437710 481481 529100 625300 650650 687830 740740 875420 925925 962962 1094275 1301300 1375660 1719575 1851850 1925924 2188550 2407405 3439150 3703700 4377100 4814810 6878300 9629620 12037025 24074050 48148100
- Sum of all divisors σ(n): 144865728
- Sum of proper divisors (its aliquot sum) s(n): 96717628
- 48148100 is an abundant number, because the sum of its proper divisors (96717628) is greater than itself. Its abundance is 48569528
Bases of 48148100
- Binary: 101101111010101110100001002
- Hexadecimal: 0x2DEAE84
- Base-36: SNZB8
Squares and roots of 48148100
- 48148100 squared (481481002) is 2318239533610000
- 48148100 cubed (481481003) is 111618828888207641000000
-
The
square root of 48148100 is 6938.8831954429 -
The
cube root of 48148100 is 363.7975064211
Scales and comparisons
How big is 48148100?- 48,148,100 seconds is equal to 1 year, 27 weeks, 4 days, 6 hours, 28 minutes, 20 seconds.
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To count from 1 to 48,148,100 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 48148100 cubic inches would be around 30.3 feet tall.
Recreational maths with 48148100
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