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82910802 = 231317312017
BaseRepresentation
bin1001111000100…
…01111001010010
312210000022020110
410330101321102
5132211121202
612121022150
72024505312
oct474217122
9183008213
1082910802
114288a127
1223924956
131423c260
14b023442
15742b26c
hex4f11e52

82910802 has 64 divisors (see below), whose sum is σ = 195277824. Its totient is φ = 23224320.

The previous prime is 82910801. The next prime is 82910803. The reversal of 82910802 is 20801928.

It is an interprime number because it is at equal distance from previous prime (82910801) and next prime (82910803).

It is a self number, because there is not a number n which added to its sum of digits gives 82910802.

It is not an unprimeable number, because it can be changed into a prime (82910801) 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 31 ways as a sum of consecutive naturals, for example, 40098 + ... + 42114.

It is an arithmetic number, because the mean of its divisors is an integer number (3051216).

Almost surely, 282910802 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82910802, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97638912).

82910802 is an abundant number, since it is smaller than the sum of its proper divisors (112367022).

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

82910802 is a wasteful number, since it uses less digits than its factorization.

82910802 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2083.

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 82910802 is about 9105.5368869716. The cubic root of 82910802 is about 436.0507509029.

The spelling of 82910802 in words is "eighty-two million, nine hundred ten thousand, eight hundred two".

Divisors: 1 2 3 6 13 17 26 31 34 39 51 62 78 93 102 186 221 403 442 527 663 806 1054 1209 1326 1581 2017 2418 3162 4034 6051 6851 12102 13702 20553 26221 34289 41106 52442 62527 68578 78663 102867 125054 157326 187581 205734 375162 445757 812851 891514 1062959 1337271 1625702 2125918 2438553 2674542 3188877 4877106 6377754 13818467 27636934 41455401 82910802