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8482131 = 33744879
BaseRepresentation
bin100000010110…
…110101010011
3120221221022000
4200112311103
54132412011
6501445043
7132045150
oct40266523
916857260
108482131
114873829
122a10783
1319aca18
1411ab227
15b28356
hex816d53

8482131 has 16 divisors (see below), whose sum is σ = 14361600. Its totient is φ = 4846824.

The previous prime is 8482091. The next prime is 8482169. The reversal of 8482131 is 1312848.

It is not a de Polignac number, because 8482131 - 210 = 8481107 is a prime.

It is a super-2 number, since 2×84821312 = 143893092602322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

8482131 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 8482095 and 8482104.

It is not an unprimeable number, because it can be changed into a prime (8482931) 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, 22251 + ... + 22628.

It is an arithmetic number, because the mean of its divisors is an integer number (897600).

Almost surely, 28482131 is an apocalyptic number.

8482131 is a deficient number, since it is larger than the sum of its proper divisors (5879469).

8482131 is a wasteful number, since it uses less digits than its factorization.

8482131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44895 (or 44889 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 8482131 is about 2912.4098269303. The cubic root of 8482131 is about 203.9396447749.

Adding to 8482131 its reverse (1312848), we get a palindrome (9794979).

It can be divided in two parts, 84 and 82131, that added together give a triangular number (82215 = T405).

The spelling of 8482131 in words is "eight million, four hundred eighty-two thousand, one hundred thirty-one".

Divisors: 1 3 7 9 21 27 63 189 44879 134637 314153 403911 942459 1211733 2827377 8482131