45480960
45,480,960 is an even composite number composed of five prime numbers multiplied together.
45480960 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred fifty-two divisors.
Prime factorization of 45480960:
210 × 33 × 5 × 7 × 47
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 47)See below for interesting mathematical facts about the number 45480960 from the Numbermatics database.
Names of 45480960
- Cardinal: 45480960 can be written as Forty-five million, four hundred eighty thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 4.548096 × 107
Factors of 45480960
Divisors of 45480960
- Number of divisors d(n): 352
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 32 35 36 40 42 45 47 48 54 56 60 63 64 70 72 80 84 90 94 96 105 108 112 120 126 128 135 140 141 144 160 168 180 188 189 192 210 216 224 235 240 252 256 270 280 282 288 315 320 329 336 360 376 378 384 420 423 432 448 470 480 504 512 540 560 564 576 630 640 658 672 705 720 752 756 768 840 846 864 896 940 945 960 987 1008 1024 1080 1120 1128 1152 1260 1269 1280 1316 1344 1410 1440 1504 1512 1536 1645 1680 1692 1728 1792 1880 1890 1920 1974 2016 2115 2160 2240 2256 2304 2520 2538 2560 2632 2688 2820 2880 2961 3008 3024 3072 3290 3360 3384 3456 3584 3760 3780 3840 3948 4032 4230 4320 4480 4512 4608 4935 5040 5076 5120 5264 5376 5640 5760 5922 6016 6048 6345 6580 6720 6768 6912 7168 7520 7560 7680 7896 8064 8460 8640 8883 8960 9024 9216 9870 10080 10152 10528 10752 11280 11520 11844 12032 12096 12690 13160 13440 13536 13824 14805 15040 15120 15360 15792 16128 16920 17280 17766 17920 18048 19740 20160 20304 21056 21504 22560 23040 23688 24064 24192 25380 26320 26880 27072 27648 29610 30080 30240 31584 32256 33840 34560 35532 35840 36096 39480 40320 40608 42112 44415 45120 46080 47376 48128 48384 50760 52640 53760 54144 59220 60160 60480 63168 64512 67680 69120 71064 72192 78960 80640 81216 84224 88830 90240 94752 96768 101520 105280 107520 108288 118440 120320 120960 126336 135360 138240 142128 144384 157920 161280 162432 168448 177660 180480 189504 193536 203040 210560 216576 236880 240640 241920 252672 270720 284256 315840 322560 324864 336896 355320 360960 379008 406080 421120 433152 473760 483840 505344 541440 568512 631680 649728 710640 721920 758016 812160 842240 947520 967680 1010688 1082880 1137024 1263360 1299456 1421280 1516032 1624320 1684480 1895040 2165760 2274048 2526720 2842560 3032064 3248640 3790080 4548096 5053440 5685120 6497280 7580160 9096192 11370240 15160320 22740480 45480960
- Sum of all divisors σ(n): 188651520
- Sum of proper divisors (its aliquot sum) s(n): 143170560
- 45480960 is an abundant number, because the sum of its proper divisors (143170560) is greater than itself. Its abundance is 97689600
Bases of 45480960
- Binary: 101011010111111100000000002
- Hexadecimal: 0x2B5FC00
- Base-36: R2TC0
Squares and roots of 45480960
- 45480960 squared (454809602) is 2068517722521600
- 45480960 cubed (454809603) is 94078171797295988736000
-
The
square root of 45480960 is 6743.9572952385 -
The
cube root of 45480960 is 356.9520449673
Scales and comparisons
How big is 45480960?- 45,480,960 seconds is equal to 1 year, 23 weeks, 1 day, 9 hours, 36 minutes.
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To count from 1 to 45,480,960 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 45480960 cubic inches would be around 29.7 feet tall.
Recreational maths with 45480960
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