47468928
47,468,928 is an even composite number composed of five prime numbers multiplied together.
47468928 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twenty-eight divisors.
Prime factorization of 47468928:
27 × 3 × 13 × 37 × 257
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 13 × 37 × 257)See below for interesting mathematical facts about the number 47468928 from the Numbermatics database.
Names of 47468928
- Cardinal: 47468928 can be written as Forty-seven million, four hundred sixty-eight thousand, nine hundred twenty-eight.
Scientific notation
- Scientific notation: 4.7468928 × 107
Factors of 47468928
Divisors of 47468928
- Number of divisors d(n): 128
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Complete list of divisors:
1 2 3 4 6 8 12 13 16 24 26 32 37 39 48 52 64 74 78 96 104 111 128 148 156 192 208 222 257 296 312 384 416 444 481 514 592 624 771 832 888 962 1028 1184 1248 1443 1542 1664 1776 1924 2056 2368 2496 2886 3084 3341 3552 3848 4112 4736 4992 5772 6168 6682 7104 7696 8224 9509 10023 11544 12336 13364 14208 15392 16448 19018 20046 23088 24672 26728 28527 30784 32896 38036 40092 46176 49344 53456 57054 61568 76072 80184 92352 98688 106912 114108 123617 152144 160368 184704 213824 228216 247234 304288 320736 370851 427648 456432 494468 608576 641472 741702 912864 988936 1217152 1282944 1483404 1825728 1977872 2966808 3651456 3955744 5933616 7911488 11867232 15822976 23734464 47468928
- Sum of all divisors σ(n): 140001120
- Sum of proper divisors (its aliquot sum) s(n): 92532192
- 47468928 is an abundant number, because the sum of its proper divisors (92532192) is greater than itself. Its abundance is 45063264
Bases of 47468928
- Binary: 101101010001010001100000002
- Hexadecimal: 0x2D45180
- Base-36: S9F9C
Squares and roots of 47468928
- 47468928 squared (474689282) is 2253299125469184
- 47468928 cubed (474689283) is 106961693949359661514752
-
The
square root of 47468928 is 6889.7698074755 -
The
cube root of 47468928 is 362.0788367515
Scales and comparisons
How big is 47468928?- 47,468,928 seconds is equal to 1 year, 26 weeks, 3 days, 9 hours, 48 minutes, 48 seconds.
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To count from 1 to 47,468,928 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 47468928 cubic inches would be around 30.2 feet tall.
Recreational maths with 47468928
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The information we have on file for 47468928 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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