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85216 = 252663
BaseRepresentation
bin10100110011100000
311022220011
4110303200
510211331
61454304
7503305
oct246340
9138804
1085216
115902a
1241394
132ca31
14230ac
151a3b1
hex14ce0

85216 has 12 divisors (see below), whose sum is σ = 167832. Its totient is φ = 42592.

The previous prime is 85213. The next prime is 85223. The reversal of 85216 is 61258.

It is a happy number.

85216 is nontrivially palindromic in base 7.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1300 + ... + 1363.

It is an arithmetic number, because the mean of its divisors is an integer number (13986).

285216 is an apocalyptic number.

It is an amenable number.

85216 is a deficient number, since it is larger than the sum of its proper divisors (82616).

85216 is a wasteful number, since it uses less digits than its factorization.

85216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2673 (or 2665 counting only the distinct ones).

The product of its digits is 480, while the sum is 22.

The square root of 85216 is about 291.9177966483. The cubic root of 85216 is about 44.0055089521.

It can be divided in two parts, 852 and 16, that added together give a palindrome (868).

The spelling of 85216 in words is "eighty-five thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 2663 5326 10652 21304 42608 85216