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3905682 = 231117592
BaseRepresentation
bin1110111001100010010010
321100102120220
432321202102
51444440212
6215413510
745124554
oct16714222
97312526
103905682
112228440
121384296
13a69971
147394d4
1552238c
hex3b9892

3905682 has 48 divisors (see below), whose sum is σ = 9178272. Its totient is φ = 1095040.

The previous prime is 3905677. The next prime is 3905687. The reversal of 3905682 is 2865093.

It is a happy number.

3905682 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 (3905677) and next prime (3905687).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3905687) 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, 66169 + ... + 66227.

It is an arithmetic number, because the mean of its divisors is an integer number (191214).

Almost surely, 23905682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3905682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4589136).

3905682 is an abundant number, since it is smaller than the sum of its proper divisors (5272590).

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

3905682 is a wasteful number, since it uses less digits than its factorization.

3905682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 3905682 is about 1976.2798384844. The cubic root of 3905682 is about 157.4824974252.

The spelling of 3905682 in words is "three million, nine hundred five thousand, six hundred eighty-two".

Divisors: 1 2 3 6 11 17 22 33 34 51 59 66 102 118 177 187 354 374 561 649 1003 1122 1298 1947 2006 3009 3481 3894 6018 6962 10443 11033 20886 22066 33099 38291 59177 66198 76582 114873 118354 177531 229746 355062 650947 1301894 1952841 3905682