Search a number
-
+
82555296 = 2533792269
BaseRepresentation
bin1001110101110…
…11000110100000
312202100020120120
410322323012200
5132113232141
612105240240
72021464665
oct472730640
9182306516
1082555296
114266701a
1223793080
13141464b5
14ad6da6c
1573aac66
hex4ebb1a0

82555296 has 48 divisors (see below), whose sum is σ = 217375200. Its totient is φ = 27433728.

The previous prime is 82555229. The next prime is 82555301. The reversal of 82555296 is 69255528.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 35250 + ... + 37518.

It is an arithmetic number, because the mean of its divisors is an integer number (4528650).

Almost surely, 282555296 is an apocalyptic number.

It is an amenable number.

82555296 is an abundant number, since it is smaller than the sum of its proper divisors (134819904).

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

82555296 is a wasteful number, since it uses less digits than its factorization.

82555296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2661 (or 2653 counting only the distinct ones).

The product of its digits is 216000, while the sum is 42.

The square root of 82555296 is about 9085.9944970267. The cubic root of 82555296 is about 435.4266233366.

The spelling of 82555296 in words is "eighty-two million, five hundred fifty-five thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 379 758 1137 1516 2269 2274 3032 4538 4548 6064 6807 9076 9096 12128 13614 18152 18192 27228 36304 36384 54456 72608 108912 217824 859951 1719902 2579853 3439804 5159706 6879608 10319412 13759216 20638824 27518432 41277648 82555296