472939920
472,939,920 is an even composite number composed of six prime numbers multiplied together.
472939920 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 472939920:
24 × 32 × 5 × 37 × 41 × 433
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 37 × 41 × 433)See below for interesting mathematical facts about the number 472939920 from the Numbermatics database.
Names of 472939920
- Cardinal: 472939920 can be written as Four hundred seventy-two million, nine hundred thirty-nine thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 4.7293992 × 108
Factors of 472939920
Divisors of 472939920
- Number of divisors d(n): 240
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 37 40 41 45 48 60 72 74 80 82 90 111 120 123 144 148 164 180 185 205 222 240 246 296 328 333 360 369 370 410 433 444 492 555 592 615 656 666 720 738 740 820 866 888 984 1110 1230 1299 1332 1476 1480 1517 1640 1665 1732 1776 1845 1968 2165 2220 2460 2598 2664 2952 2960 3034 3280 3330 3464 3690 3897 4330 4440 4551 4920 5196 5328 5904 6068 6495 6660 6928 7380 7585 7794 8660 8880 9102 9840 10392 12136 12990 13320 13653 14760 15170 15588 16021 17320 17753 18204 19485 20784 22755 24272 25980 26640 27306 29520 30340 31176 32042 34640 35506 36408 38970 45510 48063 51960 53259 54612 60680 62352 64084 68265 71012 72816 77940 80105 88765 91020 96126 103920 106518 109224 121360 128168 136530 142024 144189 155880 159777 160210 177530 182040 192252 213036 218448 240315 256336 266295 273060 284048 288378 311760 319554 320420 355060 364080 384504 426072 480630 532590 546120 576756 639108 640840 656861 710120 720945 769008 798885 852144 961260 1065180 1092240 1153512 1278216 1281680 1313722 1420240 1441890 1597770 1922520 1970583 2130360 2307024 2556432 2627444 2883780 3195540 3284305 3845040 3941166 4260720 5254888 5767560 5911749 6391080 6568610 7882332 9852915 10509776 11535120 11823498 12782160 13137220 15764664 19705830 23646996 26274440 29558745 31529328 39411660 47293992 52548880 59117490 78823320 94587984 118234980 157646640 236469960 472939920
- Sum of all divisors σ(n): 1674861552
- Sum of proper divisors (its aliquot sum) s(n): 1201921632
- 472939920 is an abundant number, because the sum of its proper divisors (1201921632) is greater than itself. Its abundance is 728981712
Bases of 472939920
- Binary: 111000011000001111101100100002
- Hexadecimal: 0x1C307D90
- Base-36: 7TKQS0
Squares and roots of 472939920
- 472939920 squared (4729399202) is 223672167929606400
- 472939920 cubed (4729399203) is 105783497206854616447488000
-
The
square root of 472939920 is 21747.1818863963 -
The
cube root of 472939920 is 779.1157632615
Scales and comparisons
How big is 472939920?- 472,939,920 seconds is equal to 15 years, 1 week, 6 days, 20 hours, 12 minutes.
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To count from 1 to 472,939,920 would take you about twenty-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 472939920 cubic inches would be around 64.9 feet tall.
Recreational maths with 472939920
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