490978752
490,978,752 is an even composite number composed of six prime numbers multiplied together.
490978752 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 490978752:
26 × 3 × 11 × 37 × 61 × 103
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 11 × 37 × 61 × 103)See below for interesting mathematical facts about the number 490978752 from the Numbermatics database.
Names of 490978752
- Cardinal: 490978752 can be written as Four hundred ninety million, nine hundred seventy-eight thousand, seven hundred fifty-two.
Scientific notation
- Scientific notation: 4.90978752 × 108
Factors of 490978752
Divisors of 490978752
- Number of divisors d(n): 224
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Complete list of divisors:
1 2 3 4 6 8 11 12 16 22 24 32 33 37 44 48 61 64 66 74 88 96 103 111 122 132 148 176 183 192 206 222 244 264 296 309 352 366 407 412 444 488 528 592 618 671 704 732 814 824 888 976 1056 1133 1184 1221 1236 1342 1464 1628 1648 1776 1952 2013 2112 2257 2266 2368 2442 2472 2684 2928 3256 3296 3399 3552 3811 3904 4026 4514 4532 4884 4944 5368 5856 6283 6512 6592 6771 6798 7104 7622 8052 9028 9064 9768 9888 10736 11433 11712 12566 13024 13542 13596 15244 16104 18056 18128 18849 19536 19776 21472 22866 24827 25132 26048 27084 27192 30488 32208 36112 36256 37698 39072 41921 42944 45732 49654 50264 54168 54384 60976 64416 69113 72224 72512 74481 75396 78144 83842 91464 99308 100528 108336 108768 121952 125763 128832 138226 144448 148962 150792 167684 182928 198616 201056 207339 216672 217536 232471 243904 251526 276452 297924 301584 335368 365856 397232 402112 414678 433344 464942 503052 552904 595848 603168 670736 697413 731712 794464 829356 929884 1006104 1105808 1191696 1206336 1341472 1394826 1588928 1658712 1859768 2012208 2211616 2383392 2557181 2682944 2789652 3317424 3719536 4024416 4423232 4766784 5114362 5579304 6634848 7439072 7671543 8048832 10228724 11158608 13269696 14878144 15343086 20457448 22317216 30686172 40914896 44634432 61372344 81829792 122744688 163659584 245489376 490978752
- Sum of all divisors σ(n): 1493666304
- Sum of proper divisors (its aliquot sum) s(n): 1002687552
- 490978752 is an abundant number, because the sum of its proper divisors (1002687552) is greater than itself. Its abundance is 511708800
Bases of 490978752
- Binary: 111010100001110111101110000002
- Hexadecimal: 0x1D43BDC0
- Base-36: 84BDMO
Squares and roots of 490978752
- 490978752 squared (4909787522) is 241060134915477504
- 490978752 cubed (4909787523) is 118355404197752770397995008
-
The
square root of 490978752 is 22158.0403465649 -
The
cube root of 490978752 is 788.8980802327
Scales and comparisons
How big is 490978752?- 490,978,752 seconds is equal to 15 years, 31 weeks, 5 days, 14 hours, 59 minutes, 12 seconds.
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To count from 1 to 490,978,752 would take you about twenty-three 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 490978752 cubic inches would be around 65.7 feet tall.
Recreational maths with 490978752
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