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82819436 = 22710212897
BaseRepresentation
bin1001110111110…
…11100101101100
312202211122220112
410323323211230
5132200210221
612115035152
72023645040
oct473734554
9182748815
1082819436
1142827517
122389bab8
13142097ab
14addc020
15740e15b
hex4efb96c

82819436 has 24 divisors (see below), whose sum is σ = 165858336. Its totient is φ = 35447040.

The previous prime is 82819417. The next prime is 82819439. The reversal of 82819436 is 63491828.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 82819393 and 82819402.

It is not an unprimeable number, because it can be changed into a prime (82819439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27140 + ... + 30036.

It is an arithmetic number, because the mean of its divisors is an integer number (6910764).

Almost surely, 282819436 is an apocalyptic number.

It is an amenable number.

82819436 is an abundant number, since it is smaller than the sum of its proper divisors (83038900).

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

82819436 is a wasteful number, since it uses less digits than its factorization.

82819436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3929 (or 3927 counting only the distinct ones).

The product of its digits is 82944, while the sum is 41.

The square root of 82819436 is about 9100.5184467699. The cubic root of 82819436 is about 435.8905190422.

The spelling of 82819436 in words is "eighty-two million, eight hundred nineteen thousand, four hundred thirty-six".

Divisors: 1 2 4 7 14 28 1021 2042 2897 4084 5794 7147 11588 14294 20279 28588 40558 81116 2957837 5915674 11831348 20704859 41409718 82819436