828068400
828,068,400 is an even composite number composed of four prime numbers multiplied together.
828068400 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred twenty divisors.
Prime factorization of 828068400:
24 × 33 × 52 × 76673
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 76673)See below for interesting mathematical facts about the number 828068400 from the Numbermatics database.
Names of 828068400
- Cardinal: 828068400 can be written as Eight hundred twenty-eight million, sixty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 8.280684 × 108
Factors of 828068400
Divisors of 828068400
- Number of divisors d(n): 120
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 36 40 45 48 50 54 60 72 75 80 90 100 108 120 135 144 150 180 200 216 225 240 270 300 360 400 432 450 540 600 675 720 900 1080 1200 1350 1800 2160 2700 3600 5400 10800 76673 153346 230019 306692 383365 460038 613384 690057 766730 920076 1150095 1226768 1380114 1533460 1840152 1916825 2070171 2300190 2760228 3066920 3450285 3680304 3833650 4140342 4600380 5520456 5750475 6133840 6900570 7667300 8280684 9200760 10350855 11040912 11500950 13801140 15334600 16561368 17251425 18401520 20701710 23001900 27602280 30669200 33122736 34502850 41403420 46003800 51754275 55204560 69005700 82806840 92007600 103508550 138011400 165613680 207017100 276022800 414034200 828068400
- Sum of all divisors σ(n): 2947348560
- Sum of proper divisors (its aliquot sum) s(n): 2119280160
- 828068400 is an abundant number, because the sum of its proper divisors (2119280160) is greater than itself. Its abundance is 1291211760
Bases of 828068400
- Binary: 1100010101101101010010001100002
- Hexadecimal: 0x315B5230
- Base-36: DP0DO0
Squares and roots of 828068400
- 828068400 squared (8280684002) is 685697275078560000
- 828068400 cubed (8280684003) is 567804245458663053504000000
-
The
square root of 828068400 is 28776.1776474917 -
The
cube root of 828068400 is 939.0500437759
Scales and comparisons
How big is 828068400?- 828,068,400 seconds is equal to 26 years, 17 weeks, 1 day, 3 hours.
-
To count from 1 to 828,068,400 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 828068400 cubic inches would be around 78.3 feet tall.
Recreational maths with 828068400
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