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8132826 = 2313127821
BaseRepresentation
bin11111000001100011011010
3120022012010210
4133001203122
54040222301
6450151550
7126061602
oct37014332
916265123
108132826
114655349
1228825b6
1318b9a30
141119c02
15aa9ad6
hex7c18da

8132826 has 32 divisors (see below), whose sum is σ = 17676288. Its totient is φ = 2479680.

The previous prime is 8132759. The next prime is 8132843. The reversal of 8132826 is 6282318.

8132826 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×81328262 = 132285717492552, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 8132793 and 8132802.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9496 + ... + 10316.

It is an arithmetic number, because the mean of its divisors is an integer number (552384).

Almost surely, 28132826 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8132826, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8838144).

8132826 is an abundant number, since it is smaller than the sum of its proper divisors (9543462).

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

8132826 is a wasteful number, since it uses less digits than its factorization.

8132826 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 966.

The product of its digits is 4608, while the sum is 30.

The square root of 8132826 is about 2851.8110035555. The cubic root of 8132826 is about 201.1008132678.

Subtracting from 8132826 its product of digits (4608), we obtain a palindrome (8128218).

The spelling of 8132826 in words is "eight million, one hundred thirty-two thousand, eight hundred twenty-six".

Divisors: 1 2 3 6 13 26 39 78 127 254 381 762 821 1642 1651 2463 3302 4926 4953 9906 10673 21346 32019 64038 104267 208534 312801 625602 1355471 2710942 4066413 8132826