48840960
48,840,960 is an even composite number composed of six prime numbers multiplied together.
48840960 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 48840960:
28 × 3 × 5 × 7 × 23 × 79
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 23 × 79)See below for interesting mathematical facts about the number 48840960 from the Numbermatics database.
Names of 48840960
- Cardinal: 48840960 can be written as Forty-eight million, eight hundred forty thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 4.884096 × 107
Factors of 48840960
Divisors of 48840960
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 23 24 28 30 32 35 40 42 46 48 56 60 64 69 70 79 80 84 92 96 105 112 115 120 128 138 140 158 160 161 168 184 192 210 224 230 237 240 256 276 280 316 320 322 336 345 368 384 395 420 448 460 474 480 483 552 553 560 632 640 644 672 690 736 768 790 805 840 896 920 948 960 966 1104 1106 1120 1185 1264 1280 1288 1344 1380 1472 1580 1610 1659 1680 1792 1817 1840 1896 1920 1932 2208 2212 2240 2370 2415 2528 2576 2688 2760 2765 2944 3160 3220 3318 3360 3634 3680 3792 3840 3864 4416 4424 4480 4740 4830 5056 5152 5376 5451 5520 5530 5888 6320 6440 6636 6720 7268 7360 7584 7728 8295 8832 8848 8960 9085 9480 9660 10112 10304 10902 11040 11060 12640 12719 12880 13272 13440 14536 14720 15168 15456 16590 17664 17696 18170 18960 19320 20224 20608 21804 22080 22120 25280 25438 25760 26544 26880 27255 29072 29440 30336 30912 33180 35392 36340 37920 38157 38640 41216 43608 44160 44240 50560 50876 51520 53088 54510 58144 60672 61824 63595 66360 70784 72680 75840 76314 77280 87216 88320 88480 101120 101752 103040 106176 109020 116288 123648 127190 132720 141568 145360 151680 152628 154560 174432 176960 190785 203504 206080 212352 218040 232576 254380 265440 290720 303360 305256 309120 348864 353920 381570 407008 424704 436080 465152 508760 530880 581440 610512 618240 697728 707840 763140 814016 872160 1017520 1061760 1162880 1221024 1395456 1526280 1628032 1744320 2035040 2123520 2325760 2442048 3052560 3256064 3488640 4070080 4884096 6105120 6977280 8140160 9768192 12210240 16280320 24420480 48840960
- Sum of all divisors σ(n): 188375040
- Sum of proper divisors (its aliquot sum) s(n): 139534080
- 48840960 is an abundant number, because the sum of its proper divisors (139534080) is greater than itself. Its abundance is 90693120
Bases of 48840960
- Binary: 101110100101000001000000002
- Hexadecimal: 0x2E94100
- Base-36: T2TXC
Squares and roots of 48840960
- 48840960 squared (488409602) is 2385439373721600
- 48840960 cubed (488409603) is 116507149034361716736000
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The
square root of 48840960 is 6988.6307671817 -
The
cube root of 48840960 is 365.5342398727
Scales and comparisons
How big is 48840960?- 48,840,960 seconds is equal to 1 year, 28 weeks, 5 days, 6 hours, 56 minutes.
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To count from 1 to 48,840,960 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 48840960 cubic inches would be around 30.5 feet tall.
Recreational maths with 48840960
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Numbermatics. (2024). Number 48840960 - Facts about the integer. Retrieved 2 May 2024, from https://numbermatics.com/n/48840960/
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