48984320
48,984,320 is an even composite number composed of five prime numbers multiplied together.
48984320 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 48984320:
28 × 5 × 72 × 11 × 71
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 7 × 11 × 71)See below for interesting mathematical facts about the number 48984320 from the Numbermatics database.
Names of 48984320
- Cardinal: 48984320 can be written as Forty-eight million, nine hundred eighty-four thousand, three hundred twenty.
Scientific notation
- Scientific notation: 4.898432 × 107
Factors of 48984320
Divisors of 48984320
- Number of divisors d(n): 216
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Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 49 55 56 64 70 71 77 80 88 98 110 112 128 140 142 154 160 176 196 220 224 245 256 280 284 308 320 352 355 385 392 440 448 490 497 539 560 568 616 640 704 710 770 781 784 880 896 980 994 1078 1120 1136 1232 1280 1408 1420 1540 1562 1568 1760 1792 1960 1988 2156 2240 2272 2464 2485 2695 2816 2840 3080 3124 3136 3479 3520 3905 3920 3976 4312 4480 4544 4928 4970 5390 5467 5680 6160 6248 6272 6958 7040 7810 7840 7952 8624 8960 9088 9856 9940 10780 10934 11360 12320 12496 12544 13916 14080 15620 15680 15904 17248 17395 18176 19712 19880 21560 21868 22720 24640 24992 27335 27832 31240 31360 31808 34496 34790 38269 39760 43120 43736 45440 49280 49984 54670 55664 62480 62720 63616 68992 69580 76538 79520 86240 87472 90880 98560 99968 109340 111328 124960 127232 137984 139160 153076 159040 172480 174944 191345 199936 218680 222656 249920 278320 306152 318080 344960 349888 382690 437360 445312 499840 556640 612304 636160 689920 699776 765380 874720 890624 999680 1113280 1224608 1399552 1530760 1749440 2226560 2449216 3061520 3498880 4453120 4898432 6123040 6997760 9796864 12246080 24492160 48984320
- Sum of all divisors σ(n): 150994368
- Sum of proper divisors (its aliquot sum) s(n): 102010048
- 48984320 is an abundant number, because the sum of its proper divisors (102010048) is greater than itself. Its abundance is 53025728
Bases of 48984320
- Binary: 101110101101110001000000002
- Hexadecimal: 0x2EB7100
- Base-36: T5WJK
Squares and roots of 48984320
- 48984320 squared (489843202) is 2399463605862400
- 48984320 cubed (489843203) is 117536093097917677568000
-
The
square root of 48984320 is 6998.8799103857 -
The
cube root of 48984320 is 365.8915342439
Scales and comparisons
How big is 48984320?- 48,984,320 seconds is equal to 1 year, 28 weeks, 6 days, 22 hours, 45 minutes, 20 seconds.
-
To count from 1 to 48,984,320 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 48984320 cubic inches would be around 30.5 feet tall.
Recreational maths with 48984320
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