164828928
164,828,928 is an even composite number composed of five prime numbers multiplied together.
What does the number 164828928 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 144 divisors.
164828928 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 164828928:
28 × 3 × 11 × 109 × 179
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 11 × 109 × 179)See below for interesting mathematical facts about the number 164828928 from the Numbermatics database.
Names of 164828928
- Cardinal: 164828928 can be written as One hundred sixty-four million, eight hundred twenty-eight thousand, nine hundred twenty-eight.
Scientific notation
- Scientific notation: 1.64828928 × 108
Factors of 164828928
Divisors of 164828928
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 109 128 132 176 179 192 218 256 264 327 352 358 384 436 528 537 654 704 716 768 872 1056 1074 1199 1308 1408 1432 1744 1969 2112 2148 2398 2616 2816 2864 3488 3597 3938 4224 4296 4796 5232 5728 5907 6976 7194 7876 8448 8592 9592 10464 11456 11814 13952 14388 15752 17184 19184 19511 20928 22912 23628 27904 28776 31504 34368 38368 39022 41856 45824 47256 57552 58533 63008 68736 76736 78044 83712 94512 115104 117066 126016 137472 153472 156088 189024 214621 230208 234132 252032 306944 312176 378048 429242 460416 468264 504064 624352 643863 756096 858484 920832 936528 1248704 1287726 1512192 1716968 1873056 2497408 2575452 3433936 3746112 4994816 5150904 6867872 7492224 10301808 13735744 14984448 20603616 27471488 41207232 54942976 82414464 164828928
- Sum of all divisors σ(n): 485654400
- Sum of proper divisors (its aliquot sum) s(n): 320825472
- 164828928 is an abundant number, because the sum of its proper divisors (320825472) is greater than itself. Its abundance is 155996544
Bases of 164828928
- Binary: 10011101001100010111000000002
- Hexadecimal: 0x9D31700
- Base-36: 2Q4UTC
Squares and roots of 164828928
- 164828928 squared (1648289282) is 27168575505629184
- 164828928 cubed (1648289283) is 4478167175879916364234752
-
The
square root of 164828928 is 12838.5718831963 -
The
cube root of 164828928 is 548.2910347811
Scales and comparisons
How big is 164828928?- 164,828,928 seconds is equal to 5 years, 12 weeks, 3 days, 17 hours, 48 minutes, 48 seconds.
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To count from 1 to 164,828,928 would take you about seven 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 164828928 cubic inches would be around 45.7 feet tall.
Recreational maths with 164828928
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