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85675008 = 21031672
BaseRepresentation
bin1010001101101…
…00110000000000
312222012202000110
411012310300000
5133413100013
612300151320
72060140236
oct506646000
9188182013
1085675008
11443a79a1
1224838540
1314999493
14b542956
1577c52c3
hex51b4c00

85675008 has 66 divisors (see below), whose sum is σ = 229730716. Its totient is φ = 28387328.

The previous prime is 85675003. The next prime is 85675033. The reversal of 85675008 is 80057658.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (85675001) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 512941 + ... + 513107.

Almost surely, 285675008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85675008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114865358).

85675008 is an abundant number, since it is smaller than the sum of its proper divisors (144055708).

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

85675008 is an equidigital number, since it uses as much as digits as its factorization.

85675008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 39.

The square root of 85675008 is about 9256.0795156481. The cubic root of 85675008 is about 440.8437803119.

The spelling of 85675008 in words is "eighty-five million, six hundred seventy-five thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 167 192 256 334 384 501 512 668 768 1002 1024 1336 1536 2004 2672 3072 4008 5344 8016 10688 16032 21376 27889 32064 42752 55778 64128 83667 85504 111556 128256 167334 171008 223112 256512 334668 446224 513024 669336 892448 1338672 1784896 2677344 3569792 5354688 7139584 10709376 14279168 21418752 28558336 42837504 85675008