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3981888 = 263231223
BaseRepresentation
bin1111001100001001000000
321111022010100
433030021000
52004410023
6221202400
745563001
oct17141100
97438110
103981888
11227a719
121400400
13a95561
147591a8
15539c43
hex3cc240

3981888 has 84 divisors (see below), whose sum is σ = 11834368. Its totient is φ = 1278720.

The previous prime is 3981883. The next prime is 3981889. The reversal of 3981888 is 8881893.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3981881) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17745 + ... + 17967.

Almost surely, 23981888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3981888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5917184).

3981888 is an abundant number, since it is smaller than the sum of its proper divisors (7852480).

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

3981888 is a wasteful number, since it uses less digits than its factorization.

3981888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 259 counting only the distinct ones).

The product of its digits is 110592, while the sum is 45.

The square root of 3981888 is about 1995.4668626665. The cubic root of 3981888 is about 158.5001509285.

The spelling of 3981888 in words is "three million, nine hundred eighty-one thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 144 186 192 223 248 279 288 372 446 496 558 576 669 744 892 992 1116 1338 1488 1784 1984 2007 2232 2676 2976 3568 4014 4464 5352 5952 6913 7136 8028 8928 10704 13826 14272 16056 17856 20739 21408 27652 32112 41478 42816 55304 62217 64224 82956 110608 124434 128448 165912 221216 248868 331824 442432 497736 663648 995472 1327296 1990944 3981888