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3829841880 = 2335376311367
BaseRepresentation
bin1110010001000110…
…1011111111011000
3100212220112010101120
43210101223333120
530320414420010
61432010445240
7163623055524
oct34421537730
910786463346
103829841880
111695933987
128aa733820
134905b5437
142848dcd84
15176362e70
hexe446bfd8

3829841880 has 128 divisors (see below), whose sum is σ = 11827399680. Its totient is φ = 991388160.

The previous prime is 3829841867. The next prime is 3829841881. The reversal of 3829841880 is 881489283.

It is a happy number.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3829841881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2800957 + ... + 2802323.

It is an arithmetic number, because the mean of its divisors is an integer number (92401560).

Almost surely, 23829841880 is an apocalyptic number.

3829841880 is a gapful number since it is divisible by the number (30) 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 3829841880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5913699840).

3829841880 is an abundant number, since it is smaller than the sum of its proper divisors (7997557800).

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

3829841880 is a wasteful number, since it uses less digits than its factorization.

3829841880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2049 (or 2045 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 51.

The square root of 3829841880 is about 61885.7162841313. The cubic root of 3829841880 is about 1564.5650143385.

The spelling of 3829841880 in words is "three billion, eight hundred twenty-nine million, eight hundred forty-one thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 631 740 888 1110 1262 1367 1480 1893 2220 2524 2734 3155 3786 4101 4440 5048 5468 6310 6835 7572 8202 9465 10936 12620 13670 15144 16404 18930 20505 23347 25240 27340 32808 37860 41010 46694 50579 54680 70041 75720 82020 93388 101158 116735 140082 151737 164040 186776 202316 233470 252895 280164 303474 350205 404632 466940 505790 560328 606948 700410 758685 862577 933880 1011580 1213896 1400820 1517370 1725154 2023160 2587731 2801640 3034740 3450308 4312885 5175462 6069480 6900616 8625770 10350924 12938655 17251540 20701848 25877310 31915349 34503080 51754620 63830698 95746047 103509240 127661396 159576745 191492094 255322792 319153490 382984188 478730235 638306980 765968376 957460470 1276613960 1914920940 3829841880