47328480
47,328,480 is an even composite number composed of five prime numbers multiplied together.
47328480 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 47328480:
25 × 32 × 5 × 23 × 1429
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 23 × 1429)See below for interesting mathematical facts about the number 47328480 from the Numbermatics database.
Names of 47328480
- Cardinal: 47328480 can be written as Forty-seven million, three hundred twenty-eight thousand, four hundred eighty.
Scientific notation
- Scientific notation: 4.732848 × 107
Factors of 47328480
Divisors of 47328480
- Number of divisors d(n): 144
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 32 36 40 45 46 48 60 69 72 80 90 92 96 115 120 138 144 160 180 184 207 230 240 276 288 345 360 368 414 460 480 552 690 720 736 828 920 1035 1104 1380 1429 1440 1656 1840 2070 2208 2760 2858 3312 3680 4140 4287 5520 5716 6624 7145 8280 8574 11040 11432 12861 14290 16560 17148 21435 22864 25722 28580 32867 33120 34296 42870 45728 51444 57160 64305 65734 68592 85740 98601 102888 114320 128610 131468 137184 164335 171480 197202 205776 228640 257220 262936 295803 328670 342960 394404 411552 493005 514440 525872 591606 657340 685920 788808 986010 1028880 1051744 1183212 1314680 1479015 1577616 1972020 2057760 2366424 2629360 2958030 3155232 3944040 4732848 5258720 5916060 7888080 9465696 11832120 15776160 23664240 47328480
- Sum of all divisors σ(n): 168648480
- Sum of proper divisors (its aliquot sum) s(n): 121320000
- 47328480 is an abundant number, because the sum of its proper divisors (121320000) is greater than itself. Its abundance is 73991520
Bases of 47328480
- Binary: 101101001000101100111000002
- Hexadecimal: 0x2D22CE0
- Base-36: S6EW0
Squares and roots of 47328480
- 47328480 squared (473284802) is 2239985019110400
- 47328480 cubed (473284803) is 106015086177266184192000
-
The
square root of 47328480 is 6879.5697539889 -
The
cube root of 47328480 is 361.7213854881
Scales and comparisons
How big is 47328480?- 47,328,480 seconds is equal to 1 year, 26 weeks, 1 day, 18 hours, 48 minutes.
-
To count from 1 to 47,328,480 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 47328480 cubic inches would be around 30.1 feet tall.
Recreational maths with 47328480
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