42748320
42,748,320 is an even composite number composed of six prime numbers multiplied together.
42748320 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 42748320:
25 × 3 × 5 × 29 × 37 × 83
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 29 × 37 × 83)See below for interesting mathematical facts about the number 42748320 from the Numbermatics database.
Names of 42748320
- Cardinal: 42748320 can be written as Forty-two million, seven hundred forty-eight thousand, three hundred twenty.
Scientific notation
- Scientific notation: 4.274832 × 107
Factors of 42748320
Divisors of 42748320
- 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 29 30 32 37 40 48 58 60 74 80 83 87 96 111 116 120 145 148 160 166 174 185 222 232 240 249 290 296 332 348 370 415 435 444 464 480 498 555 580 592 664 696 740 830 870 888 928 996 1073 1110 1160 1184 1245 1328 1392 1480 1660 1740 1776 1992 2146 2220 2320 2407 2490 2656 2784 2960 3071 3219 3320 3480 3552 3984 4292 4440 4640 4814 4980 5365 5920 6142 6438 6640 6960 7221 7968 8584 8880 9213 9628 9960 10730 12035 12284 12876 13280 13920 14442 15355 16095 17168 17760 18426 19256 19920 21460 24070 24568 25752 28884 30710 32190 34336 36105 36852 38512 39840 42920 46065 48140 49136 51504 57768 61420 64380 72210 73704 77024 85840 89059 92130 96280 98272 103008 115536 122840 128760 144420 147408 171680 178118 184260 192560 231072 245680 257520 267177 288840 294816 356236 368520 385120 445295 491360 515040 534354 577680 712472 737040 890590 1068708 1155360 1335885 1424944 1474080 1781180 2137416 2671770 2849888 3562360 4274832 5343540 7124720 8549664 10687080 14249440 21374160 42748320
- Sum of all divisors σ(n): 144789120
- Sum of proper divisors (its aliquot sum) s(n): 102040800
- 42748320 is an abundant number, because the sum of its proper divisors (102040800) is greater than itself. Its abundance is 59292480
Bases of 42748320
- Binary: 101000110001001001101000002
- Hexadecimal: 0x28C49A0
- Base-36: PG8TC
Squares and roots of 42748320
- 42748320 squared (427483202) is 1827418862822400
- 42748320 cubed (427483203) is 78119086321968058368000
-
The
square root of 42748320 is 6538.2199412379 -
The
cube root of 42748320 is 349.6549524637
Scales and comparisons
How big is 42748320?- 42,748,320 seconds is equal to 1 year, 18 weeks, 4 days, 18 hours, 32 minutes.
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To count from 1 to 42,748,320 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 42748320 cubic inches would be around 29.1 feet tall.
Recreational maths with 42748320
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The information we have on file for 42748320 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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