48168420
48,168,420 is an even composite number composed of seven prime numbers multiplied together.
48168420 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 48168420:
22 × 3 × 5 × 19 × 29 × 31 × 47
(2 × 2 × 3 × 5 × 19 × 29 × 31 × 47)See below for interesting mathematical facts about the number 48168420 from the Numbermatics database.
Names of 48168420
- Cardinal: 48168420 can be written as Forty-eight million, one hundred sixty-eight thousand, four hundred twenty.
Scientific notation
- Scientific notation: 4.816842 × 107
Factors of 48168420
Divisors of 48168420
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 3 4 5 6 10 12 15 19 20 29 30 31 38 47 57 58 60 62 76 87 93 94 95 114 116 124 141 145 155 174 186 188 190 228 235 282 285 290 310 348 372 380 435 465 470 551 564 570 580 589 620 705 870 893 899 930 940 1102 1140 1178 1363 1410 1457 1653 1740 1767 1786 1798 1860 2204 2356 2679 2697 2726 2755 2820 2914 2945 3306 3534 3572 3596 4089 4371 4465 4495 5358 5394 5452 5510 5828 5890 6612 6815 7068 7285 8178 8265 8742 8835 8930 8990 10716 10788 11020 11780 13395 13485 13630 14570 16356 16530 17081 17484 17670 17860 17980 20445 21855 25897 26790 26970 27260 27683 29140 33060 34162 35340 40890 42253 43710 51243 51794 53580 53940 55366 68324 77691 81780 83049 84506 85405 87420 102486 103588 110732 126759 129485 138415 155382 166098 169012 170810 204972 211265 253518 256215 258970 276830 310764 332196 341620 388455 415245 422530 507036 512430 517940 553660 633795 776910 802807 830490 845060 1024860 1267590 1553820 1605614 1660980 2408421 2535180 3211228 4014035 4816842 8028070 9633684 12042105 16056140 24084210 48168420
- Sum of all divisors σ(n): 154828800
- Sum of proper divisors (its aliquot sum) s(n): 106660380
- 48168420 is an abundant number, because the sum of its proper divisors (106660380) is greater than itself. Its abundance is 58491960
Bases of 48168420
- Binary: 101101111011111101111001002
- Hexadecimal: 0x2DEFDE4
- Base-36: SOEZO
Squares and roots of 48168420
- 48168420 squared (481684202) is 2320196685296400
- 48168420 cubed (481684203) is 111760208419964819688000
-
The
square root of 48168420 is 6940.3472535601 -
The
cube root of 48168420 is 363.8486771885
Scales and comparisons
How big is 48168420?- 48,168,420 seconds is equal to 1 year, 27 weeks, 4 days, 12 hours, 7 minutes.
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To count from 1 to 48,168,420 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 48168420 cubic inches would be around 30.3 feet tall.
Recreational maths with 48168420
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