385825248
385,825,248 is an even composite number composed of four prime numbers multiplied together.
385825248 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 385825248:
25 × 33 × 192 × 1237
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 19 × 19 × 1237)See below for interesting mathematical facts about the number 385825248 from the Numbermatics database.
Names of 385825248
- Cardinal: 385825248 can be written as Three hundred eighty-five million, eight hundred twenty-five thousand, two hundred forty-eight.
Scientific notation
- Scientific notation: 3.85825248 × 108
Factors of 385825248
Divisors of 385825248
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 96 108 114 144 152 171 216 228 288 304 342 361 432 456 513 608 684 722 864 912 1026 1083 1237 1368 1444 1824 2052 2166 2474 2736 2888 3249 3711 4104 4332 4948 5472 5776 6498 7422 8208 8664 9747 9896 11133 11552 12996 14844 16416 17328 19494 19792 22266 23503 25992 29688 33399 34656 38988 39584 44532 47006 51984 59376 66798 70509 77976 89064 94012 103968 118752 133596 141018 155952 178128 188024 211527 267192 282036 311904 356256 376048 423054 446557 534384 564072 634581 752096 846108 893114 1068768 1128144 1269162 1339671 1692216 1786228 2256288 2538324 2679342 3384432 3572456 4019013 5076648 5358684 6768864 7144912 8038026 10153296 10717368 12057039 14289824 16076052 20306592 21434736 24114078 32152104 42869472 48228156 64304208 96456312 128608416 192912624 385825248
- Sum of all divisors σ(n): 1188628560
- Sum of proper divisors (its aliquot sum) s(n): 802803312
- 385825248 is an abundant number, because the sum of its proper divisors (802803312) is greater than itself. Its abundance is 416978064
Bases of 385825248
- Binary: 101101111111100111001111000002
- Hexadecimal: 0x16FF39E0
- Base-36: 6DPKO0
Squares and roots of 385825248
- 385825248 squared (3858252482) is 148861121994261504
- 385825248 cubed (3858252483) is 57434379310994199357652992
-
The
square root of 385825248 is 19642.4348796171 -
The
cube root of 385825248 is 727.9980477345
Scales and comparisons
How big is 385825248?- 385,825,248 seconds is equal to 12 years, 13 weeks, 6 days, 13 hours, 40 minutes, 48 seconds.
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To count from 1 to 385,825,248 would take you about eighteen 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 385825248 cubic inches would be around 60.7 feet tall.
Recreational maths with 385825248
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