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4988744320 = 27571796221
BaseRepresentation
bin1001010010101101…
…00011001010000000
3110212200012110200011
410221112203022000
540204104304240
62143010034304
7234424425040
oct45126431200
913780173604
104988744320
11213001a49a
12b72878994
1361671a621
143547b1720
151e2e816ea
hex1295a3280

4988744320 has 128 divisors (see below), whose sum is σ = 13708310400. Its totient is φ = 1700597760.

The previous prime is 4988744281. The next prime is 4988744381. The reversal of 4988744320 is 234478894.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 798810 + ... + 805030.

It is an arithmetic number, because the mean of its divisors is an integer number (107096175).

Almost surely, 24988744320 is an apocalyptic number.

4988744320 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 4988744320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6854155200).

4988744320 is an abundant number, since it is smaller than the sum of its proper divisors (8719566080).

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

4988744320 is a wasteful number, since it uses less digits than its factorization.

4988744320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6426 (or 6414 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 49.

The square root of 4988744320 is about 70631.0435998223. The cubic root of 4988744320 is about 1708.6918531669.

The spelling of 4988744320 in words is "four billion, nine hundred eighty-eight million, seven hundred forty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 179 224 280 320 358 448 560 640 716 895 896 1120 1253 1432 1790 2240 2506 2864 3580 4480 5012 5728 6221 6265 7160 10024 11456 12442 12530 14320 20048 22912 24884 25060 28640 31105 40096 43547 49768 50120 57280 62210 80192 87094 99536 100240 114560 124420 160384 174188 199072 200480 217735 248840 348376 398144 400960 435470 497680 696752 796288 801920 870940 995360 1113559 1393504 1741880 1990720 2227118 2787008 3483760 3981440 4454236 5567795 5574016 6967520 7794913 8908472 11135590 13935040 15589826 17816944 22271180 27870080 31179652 35633888 38974565 44542360 62359304 71267776 77949130 89084720 124718608 142535552 155898260 178169440 249437216 311796520 356338880 498874432 623593040 712677760 997748864 1247186080 2494372160 4988744320