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8135322 = 2313271113
BaseRepresentation
bin11111000010001010011010
3120022022120020
4133002022122
54040312242
6450211310
7126102066
oct37021232
916268506
108135322
114657208
122883b36
1318bac00
14111aaa6
15aaa6ec
hex7c229a

8135322 has 48 divisors (see below), whose sum is σ = 18024768. Its totient is φ = 2446080.

The previous prime is 8135311. The next prime is 8135329. The reversal of 8135322 is 2235318.

It is a junction number, because it is equal to n+sod(n) for n = 8135292 and 8135301.

It is not an unprimeable number, because it can be changed into a prime (8135329) 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 23 ways as a sum of consecutive naturals, for example, 71938 + ... + 72050.

It is an arithmetic number, because the mean of its divisors is an integer number (375516).

Almost surely, 28135322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8135322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9012384).

8135322 is an abundant number, since it is smaller than the sum of its proper divisors (9889446).

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

8135322 is a wasteful number, since it uses less digits than its factorization.

8135322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 202 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 8135322 is about 2852.2485866418. The cubic root of 8135322 is about 201.1213840710.

The spelling of 8135322 in words is "eight million, one hundred thirty-five thousand, three hundred twenty-two".

Divisors: 1 2 3 6 13 26 39 71 78 113 142 169 213 226 338 339 426 507 678 923 1014 1469 1846 2769 2938 4407 5538 8023 8814 11999 16046 19097 23998 24069 35997 38194 48138 57291 71994 104299 114582 208598 312897 625794 1355887 2711774 4067661 8135322