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3966893 = 72731109
BaseRepresentation
bin1111001000011110101101
321110112112222
433020132231
52003420033
6221005125
745501200
oct17103655
97415488
103966893
11226a427
1213b37a5
13a8b798
14753937
15535598
hex3c87ad

3966893 has 12 divisors (see below), whose sum is σ = 4681980. Its totient is φ = 3350592.

The previous prime is 3966889. The next prime is 3966913. The reversal of 3966893 is 3986693.

It can be written as a sum of positive squares in 2 ways, for example, as 879844 + 3087049 = 938^2 + 1757^2 .

It is not a de Polignac number, because 3966893 - 22 = 3966889 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 (3966803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3023 + ... + 4131.

It is an arithmetic number, because the mean of its divisors is an integer number (390165).

Almost surely, 23966893 is an apocalyptic number.

It is an amenable number.

3966893 is a deficient number, since it is larger than the sum of its proper divisors (715087).

3966893 is a wasteful number, since it uses less digits than its factorization.

3966893 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196 (or 1189 counting only the distinct ones).

The product of its digits is 209952, while the sum is 44.

The square root of 3966893 is about 1991.7060526092. The cubic root of 3966893 is about 158.3009406187.

The spelling of 3966893 in words is "three million, nine hundred sixty-six thousand, eight hundred ninety-three".

Divisors: 1 7 49 73 511 1109 3577 7763 54341 80957 566699 3966893