480025728
480,025,728 is an even composite number composed of six prime numbers multiplied together.
480025728 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 480025728:
27 × 32 × 7 × 13 × 19 × 241
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 13 × 19 × 241)See below for interesting mathematical facts about the number 480025728 from the Numbermatics database.
Names of 480025728
- Cardinal: 480025728 can be written as Four hundred eighty million, twenty-five thousand, seven hundred twenty-eight.
Scientific notation
- Scientific notation: 4.80025728 × 108
Factors of 480025728
Divisors of 480025728
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 19 21 24 26 28 32 36 38 39 42 48 52 56 57 63 64 72 76 78 84 91 96 104 112 114 117 126 128 133 144 152 156 168 171 182 192 208 224 228 234 241 247 252 266 273 288 304 312 336 342 364 384 399 416 448 456 468 482 494 504 532 546 576 608 624 672 684 723 728 741 798 819 832 896 912 936 964 988 1008 1064 1092 1152 1197 1216 1248 1344 1368 1446 1456 1482 1596 1638 1664 1687 1729 1824 1872 1928 1976 2016 2128 2169 2184 2223 2394 2432 2496 2688 2736 2892 2912 2964 3133 3192 3276 3374 3458 3648 3744 3856 3952 4032 4256 4338 4368 4446 4579 4788 4992 5061 5187 5472 5784 5824 5928 6266 6384 6552 6748 6916 7296 7488 7712 7904 8064 8512 8676 8736 8892 9158 9399 9576 10122 10374 10944 11568 11648 11856 12532 12768 13104 13496 13737 13832 14976 15183 15424 15561 15808 17024 17352 17472 17784 18316 18798 19152 20244 20748 21888 21931 23136 23712 25064 25536 26208 26992 27474 27664 28197 30366 30848 31122 31616 32053 34704 34944 35568 36632 37596 38304 40488 41211 41496 43862 46272 47424 50128 51072 52416 53984 54948 55328 56394 59527 60732 62244 64106 65793 69408 71136 73264 75192 76608 80976 82422 82992 87724 92544 94848 96159 100256 104832 107968 109896 110656 112788 119054 121464 124488 128212 131586 138816 142272 146528 150384 153216 161952 164844 165984 175448 178581 192318 197379 200512 215936 219792 221312 225576 238108 242928 248976 256424 263172 277632 284544 288477 293056 300768 323904 329688 331968 350896 357162 384636 394758 401024 416689 439584 451152 476216 485856 497952 512848 526344 535743 576954 586112 601536 647808 659376 663936 701792 714324 769272 789516 833378 879168 902304 952432 971712 995904 1025696 1052688 1071486 1153908 1203072 1250067 1318752 1403584 1428648 1538544 1579032 1666756 1758336 1804608 1904864 1943424 1991808 2051392 2105376 2142972 2307816 2500134 2637504 2807168 2857296 3077088 3158064 3333512 3609216 3750201 3809728 4102784 4210752 4285944 4615632 5000268 5275008 5714592 6154176 6316128 6667024 7500402 7619456 8421504 8571888 9231264 10000536 11429184 12308352 12632256 13334048 15000804 17143776 18462528 20001072 22858368 25264512 26668096 30001608 34287552 36925056 40002144 53336192 60003216 68575104 80004288 120006432 160008576 240012864 480025728
- Sum of all divisors σ(n): 1796995200
- Sum of proper divisors (its aliquot sum) s(n): 1316969472
- 480025728 is an abundant number, because the sum of its proper divisors (1316969472) is greater than itself. Its abundance is 836943744
Bases of 480025728
- Binary: 111001001110010011100100000002
- Hexadecimal: 0x1C9C9C80
- Base-36: 7XSM80
Squares and roots of 480025728
- 480025728 squared (4800257282) is 230424699541929984
- 480025728 cubed (4800257283) is 110609784146796207094628352
-
The
square root of 480025728 is 21909.4894509205 -
The
cube root of 480025728 is 782.9875171109
Scales and comparisons
How big is 480025728?- 480,025,728 seconds is equal to 15 years, 13 weeks, 4 days, 20 hours, 28 minutes, 48 seconds.
-
To count from 1 to 480,025,728 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 480025728 cubic inches would be around 65.2 feet tall.
Recreational maths with 480025728
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