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85676256 = 2532297487
BaseRepresentation
bin1010001101101…
…01000011100000
312222012210201200
411012311003200
5133413120011
612300201200
72060144001
oct506650340
9188183650
1085676256
11443a8926
1224839200
1314999c13
14b5431a8
1577c5856
hex51b50e0

85676256 has 36 divisors (see below), whose sum is σ = 243642672. Its totient is φ = 28558656.

The previous prime is 85676251. The next prime is 85676257. The reversal of 85676256 is 65267658.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85676251) 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, 148456 + ... + 149031.

It is an arithmetic number, because the mean of its divisors is an integer number (6767852).

Almost surely, 285676256 is an apocalyptic number.

It is an amenable number.

85676256 is an abundant number, since it is smaller than the sum of its proper divisors (157966416).

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

85676256 is a wasteful number, since it uses less digits than its factorization.

85676256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297503 (or 297492 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 85676256 is about 9256.1469305538. The cubic root of 85676256 is about 440.8459208442.

The spelling of 85676256 in words is "eighty-five million, six hundred seventy-six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 297487 594974 892461 1189948 1784922 2379896 2677383 3569844 4759792 5354766 7139688 9519584 10709532 14279376 21419064 28558752 42838128 85676256