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4805112240 = 2433510692081
BaseRepresentation
bin1000111100110100…
…00011000110110000
3110101212122222211000
410132122003012300
534320102042430
62112450122000
7230034531405
oct43632030660
913355588730
104805112240
1120463a6a45
12b21280300
135b76744a6
143382502ac
151d1cabe60
hex11e6831b0

4805112240 has 160 divisors (see below), whose sum is σ = 16574385600. Its totient is φ = 1279549440.

The previous prime is 4805112223. The next prime is 4805112259. The reversal of 4805112240 is 422115084.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2308000 + ... + 2310080.

It is an arithmetic number, because the mean of its divisors is an integer number (103589910).

Almost surely, 24805112240 is an apocalyptic number.

4805112240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4805112240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8287192800).

4805112240 is an abundant number, since it is smaller than the sum of its proper divisors (11769273360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4805112240 is a wasteful number, since it uses less digits than its factorization.

4805112240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3172 (or 3160 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 4805112240 is about 69318.9168986360. The cubic root of 4805112240 is about 1687.4639834288.

The spelling of 4805112240 in words is "four billion, eight hundred five million, one hundred twelve thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1069 1080 2081 2138 2160 3207 4162 4276 5345 6243 6414 8324 8552 9621 10405 10690 12486 12828 16035 16648 17104 18729 19242 20810 21380 24972 25656 28863 31215 32070 33296 37458 38484 41620 42760 48105 49944 51312 56187 57726 62430 64140 74916 76968 83240 85520 93645 96210 99888 112374 115452 124860 128280 144315 149832 153936 166480 187290 192420 224748 230904 249720 256560 280935 288630 299664 374580 384840 449496 461808 499440 561870 577260 749160 769680 898992 1123740 1154520 1498320 2224589 2247480 2309040 4449178 4494960 6673767 8898356 11122945 13347534 17796712 20021301 22245890 26695068 33368835 35593424 40042602 44491780 53390136 60063903 66737670 80085204 88983560 100106505 106780272 120127806 133475340 160170408 177967120 200213010 240255612 266950680 300319515 320340816 400426020 480511224 533901360 600639030 800852040 961022448 1201278060 1601704080 2402556120 4805112240