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85026336 = 2531316761
BaseRepresentation
bin1010001000101…
…10011000100000
312220222210012120
411010112120200
5133231320321
612234224240
72051466123
oct504263040
9186883176
1085026336
1143aa45aa
1224585080
1314800155
14b4143ba
1576e7ec6
hex5116620

85026336 has 48 divisors (see below), whose sum is σ = 224931168. Its totient is φ = 28121600.

The previous prime is 85026329. The next prime is 85026341. The reversal of 85026336 is 63362058.

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

It is a junction number, because it is equal to n+sod(n) for n = 85026297 and 85026306.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9196 + ... + 15956.

It is an arithmetic number, because the mean of its divisors is an integer number (4686066).

Almost surely, 285026336 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 85026336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112465584).

85026336 is an abundant number, since it is smaller than the sum of its proper divisors (139904832).

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

85026336 is a wasteful number, since it uses less digits than its factorization.

85026336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6905 (or 6897 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 85026336 is about 9220.9726168122. The cubic root of 85026336 is about 439.7283722939.

The spelling of 85026336 in words is "eighty-five million, twenty-six thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 131 262 393 524 786 1048 1572 2096 3144 4192 6288 6761 12576 13522 20283 27044 40566 54088 81132 108176 162264 216352 324528 649056 885691 1771382 2657073 3542764 5314146 7085528 10628292 14171056 21256584 28342112 42513168 85026336