Search a number
-
+
85794128 = 2477110789
BaseRepresentation
bin1010001110100…
…01110101010000
312222102210102022
411013101311100
5133430403003
612302511012
72061144440
oct507216520
9188383368
1085794128
1144479442
1224895468
1314a0b774
14b574120
1577ea738
hex51d1d50

85794128 has 40 divisors (see below), whose sum is σ = 192666240. Its totient is φ = 36247680.

The previous prime is 85794119. The next prime is 85794161. The reversal of 85794128 is 82149758.

It is a congruent number.

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, 2558 + ... + 13346.

It is an arithmetic number, because the mean of its divisors is an integer number (4816656).

Almost surely, 285794128 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 85794128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96333120).

85794128 is an abundant number, since it is smaller than the sum of its proper divisors (106872112).

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

85794128 is a wasteful number, since it uses less digits than its factorization.

85794128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10875 (or 10869 counting only the distinct ones).

The product of its digits is 161280, while the sum is 44.

The square root of 85794128 is about 9262.5119703027. The cubic root of 85794128 is about 441.0479977513.

The spelling of 85794128 in words is "eighty-five million, seven hundred ninety-four thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 71 112 142 284 497 568 994 1136 1988 3976 7952 10789 21578 43156 75523 86312 151046 172624 302092 604184 766019 1208368 1532038 3064076 5362133 6128152 10724266 12256304 21448532 42897064 85794128