96428800
96,428,800 is an even composite number composed of five prime numbers multiplied together.
96428800 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 96428800:
28 × 52 × 13 × 19 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 19 × 61)See below for interesting mathematical facts about the number 96428800 from the Numbermatics database.
Names of 96428800
- Cardinal: 96428800 can be written as Ninety-six million, four hundred twenty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 9.64288 × 107
Factors of 96428800
Divisors of 96428800
- Number of divisors d(n): 216
-
Complete list of divisors:
1 2 4 5 8 10 13 16 19 20 25 26 32 38 40 50 52 61 64 65 76 80 95 100 104 122 128 130 152 160 190 200 208 244 247 256 260 304 305 320 325 380 400 416 475 488 494 520 608 610 640 650 760 793 800 832 950 976 988 1040 1159 1216 1220 1235 1280 1300 1520 1525 1586 1600 1664 1900 1952 1976 2080 2318 2432 2440 2470 2600 3040 3050 3172 3200 3328 3800 3904 3952 3965 4160 4636 4864 4880 4940 5200 5795 6080 6100 6175 6344 6400 7600 7808 7904 7930 8320 9272 9760 9880 10400 11590 12160 12200 12350 12688 15067 15200 15616 15808 15860 16640 18544 19520 19760 19825 20800 23180 24320 24400 24700 25376 28975 30134 30400 31616 31720 37088 39040 39520 39650 41600 46360 48800 49400 50752 57950 60268 60800 63232 63440 74176 75335 78080 79040 79300 83200 92720 97600 98800 101504 115900 120536 121600 126880 148352 150670 158080 158600 185440 195200 197600 203008 231800 241072 253760 296704 301340 316160 317200 370880 376675 390400 395200 463600 482144 507520 602680 634400 741760 753350 790400 927200 964288 1015040 1205360 1268800 1483520 1506700 1580800 1854400 1928576 2410720 2537600 3013400 3708800 3857152 4821440 5075200 6026800 7417600 9642880 12053600 19285760 24107200 48214400 96428800
- Sum of all divisors σ(n): 274999760
- Sum of proper divisors (its aliquot sum) s(n): 178570960
- 96428800 is an abundant number, because the sum of its proper divisors (178570960) is greater than itself. Its abundance is 82142160
Bases of 96428800
- Binary: 1011011111101100011000000002
- Hexadecimal: 0x5BF6300
- Base-36: 1LESXS
Squares and roots of 96428800
- 96428800 squared (964288002) is 9298513469440000
- 96428800 cubed (964288003) is 896644495641935872000000
-
The
square root of 96428800 is 9819.8166989003 -
The
cube root of 96428800 is 458.5664254229
Scales and comparisons
How big is 96428800?- 96,428,800 seconds is equal to 3 years, 3 weeks, 3 days, 1 hour, 46 minutes, 40 seconds.
-
To count from 1 to 96,428,800 would take you about four 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 96428800 cubic inches would be around 38.2 feet tall.
Recreational maths with 96428800
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