Search a number
-
+
82659968 = 273311951
BaseRepresentation
bin1001110110101…
…00101010000000
312202112120011022
410323110222000
5132130104333
612111405012
72022412106
oct473245200
9182476138
1082659968
1142728726
1223823768
1314182031
14ad99c76
1573cbc98
hex4ed4a80

82659968 has 32 divisors (see below), whose sum is σ = 165256320. Its totient is φ = 41184000.

The previous prime is 82659959. The next prime is 82659979. The reversal of 82659968 is 86995628.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×826599682 = 13665340619522048, which contains 22 as substring.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 41393 + ... + 43343.

It is an arithmetic number, because the mean of its divisors is an integer number (5164260).

Almost surely, 282659968 is an apocalyptic number.

It is an amenable number.

82659968 is a deficient number, since it is larger than the sum of its proper divisors (82596352).

82659968 is a wasteful number, since it uses less digits than its factorization.

82659968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2296 (or 2284 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 53.

The square root of 82659968 is about 9091.7527463081. The cubic root of 82659968 is about 435.6105716674.

The spelling of 82659968 in words is "eighty-two million, six hundred fifty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 128 331 662 1324 1951 2648 3902 5296 7804 10592 15608 21184 31216 42368 62432 124864 249728 645781 1291562 2583124 5166248 10332496 20664992 41329984 82659968