53988480
53,988,480 is an even composite number composed of six prime numbers multiplied together.
53988480 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 53988480:
27 × 32 × 5 × 7 × 13 × 103
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 13 × 103)See below for interesting mathematical facts about the number 53988480 from the Numbermatics database.
Names of 53988480
- Cardinal: 53988480 can be written as Fifty-three million, nine hundred eighty-eight thousand, four hundred eighty.
Scientific notation
- Scientific notation: 5.398848 × 107
Factors of 53988480
Divisors of 53988480
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 26 28 30 32 35 36 39 40 42 45 48 52 56 60 63 64 65 70 72 78 80 84 90 91 96 103 104 105 112 117 120 126 128 130 140 144 156 160 168 180 182 192 195 206 208 210 224 234 240 252 260 273 280 288 309 312 315 320 336 360 364 384 390 412 416 420 448 455 468 480 504 515 520 546 560 576 585 618 624 630 640 672 720 721 728 780 819 824 832 840 896 910 927 936 960 1008 1030 1040 1092 1120 1152 1170 1236 1248 1260 1339 1344 1365 1440 1442 1456 1545 1560 1638 1648 1664 1680 1820 1854 1872 1920 2016 2060 2080 2163 2184 2240 2340 2472 2496 2520 2678 2688 2730 2880 2884 2912 3090 3120 3276 3296 3360 3605 3640 3708 3744 4017 4032 4095 4120 4160 4326 4368 4480 4635 4680 4944 4992 5040 5356 5460 5760 5768 5824 6180 6240 6489 6552 6592 6695 6720 7210 7280 7416 7488 8034 8064 8190 8240 8320 8652 8736 9270 9360 9373 9888 10080 10712 10815 10920 11536 11648 12051 12360 12480 12978 13104 13184 13390 13440 14420 14560 14832 14976 16068 16380 16480 17304 17472 18540 18720 18746 19776 20085 20160 21424 21630 21840 23072 24102 24720 24960 25956 26208 26780 28119 28840 29120 29664 32136 32445 32760 32960 34608 34944 37080 37440 37492 39552 40170 40320 42848 43260 43680 46144 46865 48204 49440 51912 52416 53560 56238 57680 58240 59328 60255 64272 64890 65520 65920 69216 74160 74880 74984 80340 84357 85696 86520 87360 92288 93730 96408 98880 103824 104832 107120 112476 115360 118656 120510 128544 129780 131040 138432 140595 148320 149968 160680 168714 171392 173040 174720 187460 192816 197760 207648 214240 224952 230720 241020 257088 259560 262080 276864 281190 296640 299936 321360 337428 346080 374920 385632 415296 421785 428480 449904 461440 482040 514176 519120 524160 562380 593280 599872 642720 674856 692160 749840 771264 830592 843570 856960 899808 964080 1038240 1124760 1199744 1285440 1349712 1384320 1499680 1542528 1687140 1799616 1928160 2076480 2249520 2570880 2699424 2999360 3374280 3599232 3856320 4152960 4499040 5398848 5998720 6748560 7712640 8998080 10797696 13497120 17996160 26994240 53988480
- Sum of all divisors σ(n): 231678720
- Sum of proper divisors (its aliquot sum) s(n): 177690240
- 53988480 is an abundant number, because the sum of its proper divisors (177690240) is greater than itself. Its abundance is 123701760
Bases of 53988480
- Binary: 110011011111001100100000002
- Hexadecimal: 0x337CC80
- Base-36: W55S0
Squares and roots of 53988480
- 53988480 squared (539884802) is 2914755972710400
- 53988480 cubed (539884803) is 157363244537555976192000
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The
square root of 53988480 is 7347.6853498227 -
The
cube root of 53988480 is 377.9494347411
Scales and comparisons
How big is 53988480?- 53,988,480 seconds is equal to 1 year, 37 weeks, 1 day, 20 hours, 48 minutes.
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To count from 1 to 53,988,480 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 53988480 cubic inches would be around 31.5 feet tall.
Recreational maths with 53988480
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