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82020829 = 1123734441
BaseRepresentation
bin1001110001110…
…00100111011101
312201100002102111
410320320213131
5131444131304
612045554021
72014110532
oct470704735
9181302374
1082020829
1142331510
1223575911
1313cba147
14ac70d89
157302704
hex4e389dd

82020829 has 16 divisors (see below), whose sum is σ = 94667904. Its totient is φ = 70329600.

The previous prime is 82020821. The next prime is 82020859. The reversal of 82020829 is 92802028.

82020829 is nontrivially palindromic in base 6.

It is not a de Polignac number, because 82020829 - 23 = 82020821 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 82020829.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82020821) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16249 + ... + 20689.

It is an arithmetic number, because the mean of its divisors is an integer number (5916744).

Almost surely, 282020829 is an apocalyptic number.

It is an amenable number.

82020829 is a deficient number, since it is larger than the sum of its proper divisors (12647075).

82020829 is a wasteful number, since it uses less digits than its factorization.

82020829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4548.

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 82020829 is about 9056.5351542408. The cubic root of 82020829 is about 434.4849305053.

The spelling of 82020829 in words is "eighty-two million, twenty thousand, eight hundred twenty-nine".

Divisors: 1 11 23 73 253 803 1679 4441 18469 48851 102143 324193 1123573 3566123 7456439 82020829