54528768
54,528,768 is an even composite number composed of four prime numbers multiplied together.
54528768 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 54528768:
28 × 33 × 73 × 23
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 7 × 23)See below for interesting mathematical facts about the number 54528768 from the Numbermatics database.
Names of 54528768
- Cardinal: 54528768 can be written as Fifty-four million, five hundred twenty-eight thousand, seven hundred sixty-eight.
Scientific notation
- Scientific notation: 5.4528768 × 107
Factors of 54528768
Divisors of 54528768
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 27 28 32 36 42 46 48 49 54 56 63 64 69 72 84 92 96 98 108 112 126 128 138 144 147 161 168 184 189 192 196 207 216 224 252 256 276 288 294 322 336 343 368 378 384 392 414 432 441 448 483 504 552 576 588 621 644 672 686 736 756 768 784 828 864 882 896 966 1008 1029 1104 1127 1152 1176 1242 1288 1323 1344 1372 1449 1472 1512 1568 1656 1728 1764 1792 1932 2016 2058 2208 2254 2304 2352 2484 2576 2646 2688 2744 2898 2944 3024 3087 3136 3312 3381 3456 3528 3864 4032 4116 4347 4416 4508 4704 4968 5152 5292 5376 5488 5796 5888 6048 6174 6272 6624 6762 6912 7056 7728 7889 8064 8232 8694 8832 9016 9261 9408 9936 10143 10304 10584 10976 11592 12096 12348 12544 13248 13524 14112 15456 15778 16128 16464 17388 17664 18032 18522 18816 19872 20286 20608 21168 21952 23184 23667 24192 24696 26496 27048 28224 30429 30912 31556 32928 34776 36064 37044 37632 39744 40572 41216 42336 43904 46368 47334 48384 49392 52992 54096 56448 60858 61824 63112 65856 69552 71001 72128 74088 79488 81144 84672 87808 92736 94668 98784 108192 112896 121716 123648 126224 131712 139104 142002 144256 148176 158976 162288 169344 185472 189336 197568 213003 216384 243432 252448 263424 278208 284004 288512 296352 324576 338688 370944 378672 395136 426006 432768 486864 504896 556416 568008 592704 649152 757344 790272 852012 865536 973728 1009792 1112832 1136016 1185408 1298304 1514688 1704024 1947456 2019584 2272032 2370816 2596608 3029376 3408048 3894912 4544064 6058752 6816096 7789824 9088128 13632192 18176256 27264384 54528768
- Sum of all divisors σ(n): 196224000
- Sum of proper divisors (its aliquot sum) s(n): 141695232
- 54528768 is an abundant number, because the sum of its proper divisors (141695232) is greater than itself. Its abundance is 87166464
Bases of 54528768
- Binary: 110100000000001011000000002
- Hexadecimal: 0x3400B00
- Base-36: WGQO0
Squares and roots of 54528768
- 54528768 squared (545287682) is 2973386539597824
- 54528768 cubed (545287683) is 162135104792052558200832
-
The
square root of 54528768 is 7384.3596878809 -
The
cube root of 54528768 is 379.2060245801
Scales and comparisons
How big is 54528768?- 54,528,768 seconds is equal to 1 year, 38 weeks, 1 day, 2 hours, 52 minutes, 48 seconds.
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To count from 1 to 54,528,768 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 54528768 cubic inches would be around 31.6 feet tall.
Recreational maths with 54528768
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