828468400
828,468,400 is an even composite number composed of five prime numbers multiplied together.
828468400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twenty divisors.
Prime factorization of 828468400:
24 × 52 × 19 × 67 × 1627
(2 × 2 × 2 × 2 × 5 × 5 × 19 × 67 × 1627)See below for interesting mathematical facts about the number 828468400 from the Numbermatics database.
Names of 828468400
- Cardinal: 828468400 can be written as Eight hundred twenty-eight million, four hundred sixty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 8.284684 × 108
Factors of 828468400
Divisors of 828468400
- Number of divisors d(n): 120
-
Complete list of divisors:
1 2 4 5 8 10 16 19 20 25 38 40 50 67 76 80 95 100 134 152 190 200 268 304 335 380 400 475 536 670 760 950 1072 1273 1340 1520 1627 1675 1900 2546 2680 3254 3350 3800 5092 5360 6365 6508 6700 7600 8135 10184 12730 13016 13400 16270 20368 25460 26032 26800 30913 31825 32540 40675 50920 61826 63650 65080 81350 101840 109009 123652 127300 130160 154565 162700 218018 247304 254600 309130 325400 436036 494608 509200 545045 618260 650800 772825 872072 1090090 1236520 1545650 1744144 2071171 2180180 2473040 2725225 3091300 4142342 4360360 5450450 6182600 8284684 8720720 10355855 10900900 12365200 16569368 20711710 21801800 33138736 41423420 43603600 51779275 82846840 103558550 165693680 207117100 414234200 828468400
- Sum of all divisors σ(n): 2127730880
- Sum of proper divisors (its aliquot sum) s(n): 1299262480
- 828468400 is an abundant number, because the sum of its proper divisors (1299262480) is greater than itself. Its abundance is 470794080
Bases of 828468400
- Binary: 1100010110000101101100101100002
- Hexadecimal: 0x31616CB0
- Base-36: DP8YB4
Squares and roots of 828468400
- 828468400 squared (8284684002) is 686359889798560000
- 828468400 cubed (8284684003) is 568627479725589325504000000
-
The
square root of 828468400 is 28783.1270017697 -
The
cube root of 828468400 is 939.2012227337
Scales and comparisons
How big is 828468400?- 828,468,400 seconds is equal to 26 years, 17 weeks, 5 days, 18 hours, 6 minutes, 40 seconds.
-
To count from 1 to 828,468,400 would take you about thirty-nine 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 828468400 cubic inches would be around 78.3 feet tall.
Recreational maths with 828468400
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