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6863825 = 52733761
BaseRepresentation
bin11010001011101111010001
3110220201101202
4122023233101
53224120300
6403040545
7112225103
oct32135721
913821352
106863825
113968991
122370155
131564247
14ca9573
15908ad5
hex68bbd1

6863825 has 12 divisors (see below), whose sum is σ = 8630028. Its totient is φ = 5414400.

The previous prime is 6863819. The next prime is 6863827. The reversal of 6863825 is 5283686.

6863825 is digitally balanced in base 3, 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 6 ways, for example, as 124609 + 6739216 = 353^2 + 2596^2 .

It is not a de Polignac number, because 6863825 - 222 = 2669521 is a prime.

It is a super-2 number, since 2×68638252 = 94224187261250, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6863827) 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, 56 + ... + 3705.

It is an arithmetic number, because the mean of its divisors is an integer number (719169).

Almost surely, 26863825 is an apocalyptic number.

It is an amenable number.

6863825 is a deficient number, since it is larger than the sum of its proper divisors (1766203).

6863825 is a wasteful number, since it uses less digits than its factorization.

6863825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3844 (or 3839 counting only the distinct ones).

The product of its digits is 69120, while the sum is 38.

The square root of 6863825 is about 2619.8902648775. The cubic root of 6863825 is about 190.0445417272.

The spelling of 6863825 in words is "six million, eight hundred sixty-three thousand, eight hundred twenty-five".

Divisors: 1 5 25 73 365 1825 3761 18805 94025 274553 1372765 6863825