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3827041 = 12892969
BaseRepresentation
bin1110100110010101100001
321012102201021
432212111201
51434431131
6214005441
744346361
oct16462541
97172637
103827041
112184349
121346881
13a3cc2a
147189a1
15508e11
hex3a6561

3827041 has 4 divisors (see below), whose sum is σ = 3831300. Its totient is φ = 3822784.

The previous prime is 3827029. The next prime is 3827053. The reversal of 3827041 is 1407283.

3827041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 1407283 = 2948527.

It is an interprime number because it is at equal distance from previous prime (3827029) and next prime (3827053).

It can be written as a sum of positive squares in 2 ways, for example, as 1218816 + 2608225 = 1104^2 + 1615^2 .

It is a cyclic number.

It is not a de Polignac number, because 3827041 - 211 = 3824993 is a prime.

It is a Duffinian number.

3827041 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 3826997 and 3827015.

It is not an unprimeable number, because it can be changed into a prime (3827071) 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 3 ways as a sum of consecutive naturals, for example, 196 + ... + 2773.

It is an arithmetic number, because the mean of its divisors is an integer number (957825).

Almost surely, 23827041 is an apocalyptic number.

It is an amenable number.

3827041 is a deficient number, since it is larger than the sum of its proper divisors (4259).

3827041 is a wasteful number, since it uses less digits than its factorization.

3827041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4258.

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 3827041 is about 1956.2824438204. The cubic root of 3827041 is about 156.4183516642.

The spelling of 3827041 in words is "three million, eight hundred twenty-seven thousand, forty-one".

Divisors: 1 1289 2969 3827041