Search a number
-
+
82089798 = 2372319007
BaseRepresentation
bin1001110010010…
…01011101000110
312201110121000220
410321021131012
5132003333143
612051245210
72014515600
oct471113506
9181417026
1082089798
114237930a
12235a9806
131401265b
14ac8c170
157317d83
hex4e49746

82089798 has 48 divisors (see below), whose sum is σ = 197167104. Its totient is φ = 22695120.

The previous prime is 82089779. The next prime is 82089803. The reversal of 82089798 is 89798028.

It is a self number, because there is not a number n which added to its sum of digits gives 82089798.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4611 + ... + 13617.

It is an arithmetic number, because the mean of its divisors is an integer number (4107648).

Almost surely, 282089798 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82089798, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98583552).

82089798 is an abundant number, since it is smaller than the sum of its proper divisors (115077306).

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

82089798 is a wasteful number, since it uses less digits than its factorization.

82089798 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9057 (or 9050 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 51.

The square root of 82089798 is about 9060.3420465234. The cubic root of 82089798 is about 434.6066784250.

The spelling of 82089798 in words is "eighty-two million, eighty-nine thousand, seven hundred ninety-eight".

Divisors: 1 2 3 6 7 14 21 31 42 49 62 93 98 147 186 217 294 434 651 1302 1519 3038 4557 9007 9114 18014 27021 54042 63049 126098 189147 279217 378294 441343 558434 837651 882686 1324029 1675302 1954519 2648058 3909038 5863557 11727114 13681633 27363266 41044899 82089798