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3968029 = 13232577
BaseRepresentation
bin1111001000110000011101
321110121010001
433020300131
52003434104
6221014301
745504412
oct17106035
97417101
103968029
11227026a
1213b4391
13a8c160
14754109
15535aa4
hex3c8c1d

3968029 has 12 divisors (see below), whose sum is σ = 4474876. Its totient is φ = 3497472.

The previous prime is 3968023. The next prime is 3968047. The reversal of 3968029 is 9208693.

3968029 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2592100 + 1375929 = 1610^2 + 1173^2 .

It is not a de Polignac number, because 3968029 - 29 = 3967517 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3968023) 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 11 ways as a sum of consecutive naturals, for example, 6589 + ... + 7165.

Almost surely, 23968029 is an apocalyptic number.

It is an amenable number.

3968029 is a deficient number, since it is larger than the sum of its proper divisors (506847).

3968029 is a wasteful number, since it uses less digits than its factorization.

3968029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 37.

The square root of 3968029 is about 1991.9912148401. The cubic root of 3968029 is about 158.3160500679.

The spelling of 3968029 in words is "three million, nine hundred sixty-eight thousand, twenty-nine".

Divisors: 1 13 23 299 529 577 6877 7501 13271 172523 305233 3968029