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3971682 = 23211131543
BaseRepresentation
bin1111001001101001100010
321110210010100
433021221202
52004043212
6221043230
745521151
oct17115142
97423110
103971682
112272a90
1213b6516
13a90a10
14755598
15536bdc
hex3c9a62

3971682 has 48 divisors (see below), whose sum is σ = 10116288. Its totient is φ = 1110240.

The previous prime is 3971677. The next prime is 3971687. The reversal of 3971682 is 2861793.

3971682 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3971677) and next prime (3971687).

It is not an unprimeable number, because it can be changed into a prime (3971687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1803 + ... + 3345.

It is an arithmetic number, because the mean of its divisors is an integer number (210756).

Almost surely, 23971682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3971682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5058144).

3971682 is an abundant number, since it is smaller than the sum of its proper divisors (6144606).

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

3971682 is a wasteful number, since it uses less digits than its factorization.

3971682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1575 (or 1572 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 3971682 is about 1992.9079256202. The cubic root of 3971682 is about 158.3646175179.

The spelling of 3971682 in words is "three million, nine hundred seventy-one thousand, six hundred eighty-two".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 143 198 234 286 429 858 1287 1543 2574 3086 4629 9258 13887 16973 20059 27774 33946 40118 50919 60177 101838 120354 152757 180531 220649 305514 361062 441298 661947 1323894 1985841 3971682