Search a number
-
+
82000912 = 2472104593
BaseRepresentation
bin1001110001100…
…11110000010000
312201022002002211
410320303300100
5131443012122
612045321504
72013665500
oct470636020
9181262084
1082000912
1142318554
1223566294
1313cb1066
14ac67a00
1572eb877
hex4e33c10

82000912 has 30 divisors (see below), whose sum is σ = 184817598. Its totient is φ = 35142912.

The previous prime is 82000909. The next prime is 82000913. The reversal of 82000912 is 21900028.

It can be written as a sum of positive squares in only one way, i.e., 69155856 + 12845056 = 8316^2 + 3584^2 .

It is not an unprimeable number, because it can be changed into a prime (82000913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 51513 + ... + 53080.

Almost surely, 282000912 is an apocalyptic number.

It is an amenable number.

82000912 is an abundant number, since it is smaller than the sum of its proper divisors (102816686).

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

82000912 is a wasteful number, since it uses less digits than its factorization.

82000912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104615 (or 104602 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 82000912 is about 9055.4354947733. The cubic root of 82000912 is about 434.4497592079.

The spelling of 82000912 in words is "eighty-two million, nine hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 104593 209186 418372 732151 836744 1464302 1673488 2928604 5125057 5857208 10250114 11714416 20500228 41000456 82000912