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3968646 = 2311157383
BaseRepresentation
bin1111001000111010000110
321110121221220
433020322012
52003444041
6221021210
745506253
oct17107206
97417856
103968646
112270780
1213b4806
13a8c516
1475442a
15535d66
hex3c8e86

3968646 has 32 divisors (see below), whose sum is σ = 8736768. Its totient is φ = 1191840.

The previous prime is 3968617. The next prime is 3968647. The reversal of 3968646 is 6468693.

3968646 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3968598 and 3968607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3968647) 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 15 ways as a sum of consecutive naturals, for example, 10171 + ... + 10553.

It is an arithmetic number, because the mean of its divisors is an integer number (273024).

Almost surely, 23968646 is an apocalyptic number.

3968646 is an abundant number, since it is smaller than the sum of its proper divisors (4768122).

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

3968646 is a wasteful number, since it uses less digits than its factorization.

3968646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556.

The product of its digits is 186624, while the sum is 42.

The square root of 3968646 is about 1992.1460789812. The cubic root of 3968646 is about 158.3242553121.

The spelling of 3968646 in words is "three million, nine hundred sixty-eight thousand, six hundred forty-six".

Divisors: 1 2 3 6 11 22 33 66 157 314 383 471 766 942 1149 1727 2298 3454 4213 5181 8426 10362 12639 25278 60131 120262 180393 360786 661441 1322882 1984323 3968646