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3982641 = 313176007
BaseRepresentation
bin1111001100010100110001
321111100011020
433030110301
52004421031
6221210053
745565125
oct17142461
97440136
103982641
112280243
121400929
13a959c0
14759585
1553a096
hex3cc531

3982641 has 16 divisors (see below), whose sum is σ = 6056064. Its totient is φ = 2306304.

The previous prime is 3982631. The next prime is 3982679. The reversal of 3982641 is 1462893.

3982641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3982641 - 27 = 3982513 is a prime.

It is a super-2 number, since 2×39826412 = 31722858669762, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3982631) 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, 2341 + ... + 3666.

It is an arithmetic number, because the mean of its divisors is an integer number (378504).

Almost surely, 23982641 is an apocalyptic number.

It is an amenable number.

3982641 is a deficient number, since it is larger than the sum of its proper divisors (2073423).

3982641 is a wasteful number, since it uses less digits than its factorization.

3982641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6040.

The product of its digits is 10368, while the sum is 33.

The square root of 3982641 is about 1995.6555313981. The cubic root of 3982641 is about 158.5101414230.

The spelling of 3982641 in words is "three million, nine hundred eighty-two thousand, six hundred forty-one".

Divisors: 1 3 13 17 39 51 221 663 6007 18021 78091 102119 234273 306357 1327547 3982641