42472800
42,472,800 is an even composite number composed of five prime numbers multiplied together.
42472800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 42472800:
25 × 32 × 52 × 17 × 347
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 17 × 347)See below for interesting mathematical facts about the number 42472800 from the Numbermatics database.
Names of 42472800
- Cardinal: 42472800 can be written as Forty-two million, four hundred seventy-two thousand, eight hundred.
Scientific notation
- Scientific notation: 4.24728 × 107
Factors of 42472800
Divisors of 42472800
- Number of divisors d(n): 216
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 30 32 34 36 40 45 48 50 51 60 68 72 75 80 85 90 96 100 102 120 136 144 150 153 160 170 180 200 204 225 240 255 272 288 300 306 340 347 360 400 408 425 450 480 510 544 600 612 680 694 720 765 800 816 850 900 1020 1041 1200 1224 1275 1360 1388 1440 1530 1632 1700 1735 1800 2040 2082 2400 2448 2550 2720 2776 3060 3123 3400 3470 3600 3825 4080 4164 4896 5100 5205 5552 5899 6120 6246 6800 6940 7200 7650 8160 8328 8675 10200 10410 11104 11798 12240 12492 13600 13880 15300 15615 16656 17350 17697 20400 20820 23596 24480 24984 26025 27760 29495 30600 31230 33312 34700 35394 40800 41640 47192 49968 52050 53091 55520 58990 61200 62460 69400 70788 78075 83280 88485 94384 99936 104100 106182 117980 122400 124920 138800 141576 147475 156150 166560 176970 188768 208200 212364 235960 249840 265455 277600 283152 294950 312300 353940 416400 424728 442425 471920 499680 530910 566304 589900 624600 707880 832800 849456 884850 943840 1061820 1179800 1249200 1327275 1415760 1698912 1769700 2123640 2359600 2498400 2654550 2831520 3539400 4247280 4719200 5309100 7078800 8494560 10618200 14157600 21236400 42472800
- Sum of all divisors σ(n): 159036696
- Sum of proper divisors (its aliquot sum) s(n): 116563896
- 42472800 is an abundant number, because the sum of its proper divisors (116563896) is greater than itself. Its abundance is 74091096
Bases of 42472800
- Binary: 101000100000010101011000002
- Hexadecimal: 0x2881560
- Base-36: PAC80
Squares and roots of 42472800
- 42472800 squared (424728002) is 1803938739840000
- 42472800 cubed (424728003) is 76618329309476352000000
-
The
square root of 42472800 is 6517.1159265429 -
The
cube root of 42472800 is 348.9021381157
Scales and comparisons
How big is 42472800?- 42,472,800 seconds is equal to 1 year, 18 weeks, 1 day, 14 hours.
-
To count from 1 to 42,472,800 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 42472800 cubic inches would be around 29.1 feet tall.
Recreational maths with 42472800
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