252428800
252,428,800 is an even composite number composed of five prime numbers multiplied together.
252428800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 252428800:
29 × 52 × 13 × 37 × 41
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 37 × 41)See below for interesting mathematical facts about the number 252428800 from the Numbermatics database.
Names of 252428800
- Cardinal: 252428800 can be written as Two hundred fifty-two million, four hundred twenty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 2.524288 × 108
Factors of 252428800
Divisors of 252428800
- Number of divisors d(n): 240
-
Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 32 37 40 41 50 52 64 65 74 80 82 100 104 128 130 148 160 164 185 200 205 208 256 260 296 320 325 328 370 400 410 416 481 512 520 533 592 640 650 656 740 800 820 832 925 962 1025 1040 1066 1184 1280 1300 1312 1480 1517 1600 1640 1664 1850 1924 2050 2080 2132 2368 2405 2560 2600 2624 2665 2960 3034 3200 3280 3328 3700 3848 4100 4160 4264 4736 4810 5200 5248 5330 5920 6068 6400 6560 6656 7400 7585 7696 8200 8320 8528 9472 9620 10400 10496 10660 11840 12025 12136 12800 13120 13325 14800 15170 15392 16400 16640 17056 18944 19240 19721 20800 20992 21320 23680 24050 24272 26240 26650 29600 30340 30784 32800 33280 34112 37925 38480 39442 41600 42640 47360 48100 48544 52480 53300 59200 60680 61568 65600 68224 75850 76960 78884 83200 85280 94720 96200 97088 98605 104960 106600 118400 121360 123136 131200 136448 151700 153920 157768 166400 170560 192400 194176 197210 213200 236800 242720 246272 262400 272896 303400 307840 315536 341120 384800 388352 394420 426400 473600 485440 493025 524800 606800 615680 631072 682240 769600 776704 788840 852800 970880 986050 1213600 1231360 1262144 1364480 1539200 1577680 1705600 1941760 1972100 2427200 2524288 3078400 3155360 3411200 3883520 3944200 4854400 5048576 6156800 6310720 6822400 7888400 9708800 10097152 12621440 15776800 19417600 25242880 31553600 50485760 63107200 126214400 252428800
- Sum of all divisors σ(n): 708595272
- Sum of proper divisors (its aliquot sum) s(n): 456166472
- 252428800 is an abundant number, because the sum of its proper divisors (456166472) is greater than itself. Its abundance is 203737672
Bases of 252428800
- Binary: 11110000101111000010000000002
- Hexadecimal: 0xF0BC200
- Base-36: 46AFB4
Squares and roots of 252428800
- 252428800 squared (2524288002) is 63720299069440000
- 252428800 cubed (2524288003) is 16084838629739855872000000
-
The
square root of 252428800 is 15888.0080563927 -
The
cube root of 252428800 is 631.9940179961
Scales and comparisons
How big is 252428800?- 252,428,800 seconds is equal to 8 years, 1 week, 2 days, 15 hours, 6 minutes, 40 seconds.
-
To count from 1 to 252,428,800 would take you about twelve 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 252428800 cubic inches would be around 52.7 feet tall.
Recreational maths with 252428800
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