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3803948940 = 22351119329863
BaseRepresentation
bin1110001010111011…
…1010011110001100
3100211002210121221210
43202232322132030
530242302331230
61425243454420
7163160014101
oct34256723614
910732717853
103803948940
111682259160
128a1b27410
1348811a97c
142812bcaa8
15173e4aeb0
hexe2bba78c

3803948940 has 96 divisors (see below), whose sum is σ = 11679929856. Its totient is φ = 917360640.

The previous prime is 3803948927. The next prime is 3803948969. The reversal of 3803948940 is 498493083.

It is a self number, because there is not a number n which added to its sum of digits gives 3803948940.

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, 112449 + ... + 142311.

It is an arithmetic number, because the mean of its divisors is an integer number (121665936).

Almost surely, 23803948940 is an apocalyptic number.

3803948940 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 3803948940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5839964928).

3803948940 is an abundant number, since it is smaller than the sum of its proper divisors (7875980916).

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

3803948940 is a wasteful number, since it uses less digits than its factorization.

3803948940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30079 (or 30077 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The square root of 3803948940 is about 61676.1618455623. The cubic root of 3803948940 is about 1561.0311148282.

The spelling of 3803948940 in words is "three billion, eight hundred three million, nine hundred forty-eight thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 193 220 330 386 579 660 772 965 1158 1930 2123 2316 2895 3860 4246 5790 6369 8492 10615 11580 12738 21230 25476 29863 31845 42460 59726 63690 89589 119452 127380 149315 179178 298630 328493 358356 447945 597260 656986 895890 985479 1313972 1642465 1791780 1970958 3284930 3941916 4927395 5763559 6569860 9854790 11527118 17290677 19709580 23054236 28817795 34581354 57635590 63399149 69162708 86453385 115271180 126798298 172906770 190197447 253596596 316995745 345813540 380394894 633991490 760789788 950987235 1267982980 1901974470 3803948940