47872968
47,872,968 is an even composite number composed of six prime numbers multiplied together.
47872968 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 47872968:
23 × 3 × 11 × 132 × 29 × 37
(2 × 2 × 2 × 3 × 11 × 13 × 13 × 29 × 37)See below for interesting mathematical facts about the number 47872968 from the Numbermatics database.
Names of 47872968
- Cardinal: 47872968 can be written as Forty-seven million, eight hundred seventy-two thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 4.7872968 × 107
Factors of 47872968
Divisors of 47872968
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 3 4 6 8 11 12 13 22 24 26 29 33 37 39 44 52 58 66 74 78 87 88 104 111 116 132 143 148 156 169 174 222 232 264 286 296 312 319 338 348 377 407 429 444 481 507 572 638 676 696 754 814 858 888 957 962 1014 1073 1131 1144 1221 1276 1352 1443 1508 1628 1716 1859 1914 1924 2028 2146 2262 2442 2552 2886 3016 3219 3256 3432 3718 3828 3848 4056 4147 4292 4524 4884 4901 5291 5577 5772 6253 6438 7436 7656 8294 8584 9048 9768 9802 10582 11154 11544 11803 12441 12506 12876 13949 14703 14872 15873 16588 18759 19604 21164 22308 23606 24882 25012 25752 27898 29406 31746 33176 35409 37518 39208 41847 42328 44616 47212 49764 50024 53911 55796 58812 63492 68783 70818 75036 83694 94424 99528 107822 111592 117624 126984 137566 141636 150072 153439 161733 167388 181337 206349 215644 275132 283272 306878 323466 334776 362674 412698 431288 460317 544011 550264 613756 646932 725348 825396 920634 1088022 1227512 1293864 1450696 1650792 1841268 1994707 2176044 3682536 3989414 4352088 5984121 7978828 11968242 15957656 23936484 47872968
- Sum of all divisors σ(n): 150206400
- Sum of proper divisors (its aliquot sum) s(n): 102333432
- 47872968 is an abundant number, because the sum of its proper divisors (102333432) is greater than itself. Its abundance is 54460464
Bases of 47872968
- Binary: 101101101001111011110010002
- Hexadecimal: 0x2DA7BC8
- Base-36: SI30O
Squares and roots of 47872968
- 47872968 squared (478729682) is 2291821065129024
- 47872968 cubed (478729683) is 109716276512647681823232
-
The
square root of 47872968 is 6919.0294117021 -
The
cube root of 47872968 is 363.1032346835
Scales and comparisons
How big is 47872968?- 47,872,968 seconds is equal to 1 year, 27 weeks, 1 day, 2 hours, 2 minutes, 48 seconds.
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To count from 1 to 47,872,968 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 47872968 cubic inches would be around 30.3 feet tall.
Recreational maths with 47872968
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