48768096
48,768,096 is an even composite number composed of five prime numbers multiplied together.
48768096 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of ninety-six divisors.
Prime factorization of 48768096:
25 × 3 × 13 × 23 × 1699
(2 × 2 × 2 × 2 × 2 × 3 × 13 × 23 × 1699)See below for interesting mathematical facts about the number 48768096 from the Numbermatics database.
Names of 48768096
- Cardinal: 48768096 can be written as Forty-eight million, seven hundred sixty-eight thousand and ninety-six.
Scientific notation
- Scientific notation: 4.8768096 × 107
Factors of 48768096
Divisors of 48768096
- Number of divisors d(n): 96
-
Complete list of divisors:
1 2 3 4 6 8 12 13 16 23 24 26 32 39 46 48 52 69 78 92 96 104 138 156 184 208 276 299 312 368 416 552 598 624 736 897 1104 1196 1248 1699 1794 2208 2392 3398 3588 4784 5097 6796 7176 9568 10194 13592 14352 20388 22087 27184 28704 39077 40776 44174 54368 66261 78154 81552 88348 117231 132522 156308 163104 176696 234462 265044 312616 353392 468924 508001 530088 625232 706784 937848 1016002 1060176 1250464 1524003 1875696 2032004 2120352 3048006 3751392 4064008 6096012 8128016 12192024 16256032 24384048 48768096
- Sum of all divisors σ(n): 143942400
- Sum of proper divisors (its aliquot sum) s(n): 95174304
- 48768096 is an abundant number, because the sum of its proper divisors (95174304) is greater than itself. Its abundance is 46406208
Bases of 48768096
- Binary: 101110100000100100011000002
- Hexadecimal: 0x2E82460
- Base-36: T19PC
Squares and roots of 48768096
- 48768096 squared (487680962) is 2378327187465216
- 48768096 cubed (487680963) is 115986488597713650548736
-
The
square root of 48768096 is 6983.4157831251 -
The
cube root of 48768096 is 365.3523737861
Scales and comparisons
How big is 48768096?- 48,768,096 seconds is equal to 1 year, 28 weeks, 4 days, 10 hours, 41 minutes, 36 seconds.
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To count from 1 to 48,768,096 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 48768096 cubic inches would be around 30.4 feet tall.
Recreational maths with 48768096
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