48642048
48,642,048 is an even composite number composed of five prime numbers multiplied together.
48642048 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 48642048:
211 × 32 × 7 × 13 × 29
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 13 × 29)See below for interesting mathematical facts about the number 48642048 from the Numbermatics database.
Names of 48642048
- Cardinal: 48642048 can be written as Forty-eight million, six hundred forty-two thousand and forty-eight.
Scientific notation
- Scientific notation: 4.8642048 × 107
Factors of 48642048
Divisors of 48642048
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 29 32 36 39 42 48 52 56 58 63 64 72 78 84 87 91 96 104 112 116 117 126 128 144 156 168 174 182 192 203 208 224 232 234 252 256 261 273 288 312 336 348 364 377 384 406 416 448 464 468 504 512 522 546 576 609 624 672 696 728 754 768 812 819 832 896 928 936 1008 1024 1044 1092 1131 1152 1218 1248 1344 1392 1456 1508 1536 1624 1638 1664 1792 1827 1856 1872 2016 2048 2088 2184 2262 2304 2436 2496 2639 2688 2784 2912 3016 3072 3248 3276 3328 3393 3584 3654 3712 3744 4032 4176 4368 4524 4608 4872 4992 5278 5376 5568 5824 6032 6144 6496 6552 6656 6786 7168 7308 7424 7488 7917 8064 8352 8736 9048 9216 9744 9984 10556 10752 11136 11648 12064 12992 13104 13312 13572 14336 14616 14848 14976 15834 16128 16704 17472 18096 18432 19488 19968 21112 21504 22272 23296 23751 24128 25984 26208 26624 27144 29232 29696 29952 31668 32256 33408 34944 36192 38976 39936 42224 43008 44544 46592 47502 48256 51968 52416 54288 58464 59392 59904 63336 64512 66816 69888 72384 77952 79872 84448 89088 93184 95004 96512 103936 104832 108576 116928 119808 126672 129024 133632 139776 144768 155904 168896 178176 186368 190008 193024 207872 209664 217152 233856 239616 253344 267264 279552 289536 311808 337792 380016 386048 415744 419328 434304 467712 506688 534528 559104 579072 623616 675584 760032 772096 838656 868608 935424 1013376 1158144 1247232 1351168 1520064 1677312 1737216 1870848 2026752 2316288 2702336 3040128 3474432 3741696 4053504 5404672 6080256 6948864 8107008 12160512 16214016 24321024 48642048
- Sum of all divisors σ(n): 178869600
- Sum of proper divisors (its aliquot sum) s(n): 130227552
- 48642048 is an abundant number, because the sum of its proper divisors (130227552) is greater than itself. Its abundance is 81585504
Bases of 48642048
- Binary: 101110011000111000000000002
- Hexadecimal: 0x2E63800
- Base-36: SYKG0
Squares and roots of 48642048
- 48642048 squared (486420482) is 2366048833634304
- 48642048 cubed (486420483) is 115089460935983829614592
-
The
square root of 48642048 is 6974.3851341893 -
The
cube root of 48642048 is 365.0373340181
Scales and comparisons
How big is 48642048?- 48,642,048 seconds is equal to 1 year, 28 weeks, 2 days, 23 hours, 40 minutes, 48 seconds.
-
To count from 1 to 48,642,048 would take you about two 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 48642048 cubic inches would be around 30.4 feet tall.
Recreational maths with 48642048
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