Search a number
-
+
82010984 = 2311931943
BaseRepresentation
bin1001110001101…
…10001101101000
312201022120220212
410320312031220
5131443322414
612045440252
72014040036
oct470661550
9181276825
1082010984
1142325080
1223570088
1313cb5813
14ac6b556
1572ee83e
hex4e36368

82010984 has 16 divisors (see below), whose sum is σ = 167749920. Its totient is φ = 37277680.

The previous prime is 82010963. The next prime is 82010989. The reversal of 82010984 is 48901028.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 82010984.

It is not an unprimeable number, because it can be changed into a prime (82010989) 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 3 ways as a sum of consecutive naturals, for example, 465884 + ... + 466059.

It is an arithmetic number, because the mean of its divisors is an integer number (10484370).

Almost surely, 282010984 is an apocalyptic number.

It is an amenable number.

82010984 is an abundant number, since it is smaller than the sum of its proper divisors (85738936).

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

82010984 is a wasteful number, since it uses less digits than its factorization.

82010984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931960 (or 931956 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The square root of 82010984 is about 9055.9916077700. The cubic root of 82010984 is about 434.4675459972.

The spelling of 82010984 in words is "eighty-two million, ten thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 11 22 44 88 931943 1863886 3727772 7455544 10251373 20502746 41005492 82010984