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8132982 = 2311139479
BaseRepresentation
bin11111000001100101110110
3120022012100120
4133001211312
54040223412
6450152410
7126062214
oct37014566
916265316
108132982
114655480
122882706
1318b9b20
141119cb4
15aa9b8c
hex7c1976

8132982 has 32 divisors (see below), whose sum is σ = 19111680. Its totient is φ = 2274720.

The previous prime is 8132951. The next prime is 8132989. The reversal of 8132982 is 2892318.

It is a super-3 number, since 3×81329823 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8132989) 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 15 ways as a sum of consecutive naturals, for example, 3882 + ... + 5597.

It is an arithmetic number, because the mean of its divisors is an integer number (597240).

Almost surely, 28132982 is an apocalyptic number.

8132982 is an abundant number, since it is smaller than the sum of its proper divisors (10978698).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8132982 is a wasteful number, since it uses less digits than its factorization.

8132982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9508.

The product of its digits is 6912, while the sum is 33.

The square root of 8132982 is about 2851.8383544654. The cubic root of 8132982 is about 201.1020990663.

The spelling of 8132982 in words is "eight million, one hundred thirty-two thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 286 429 858 9479 18958 28437 56874 104269 123227 208538 246454 312807 369681 625614 739362 1355497 2710994 4066491 8132982