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85971294 = 234975471
BaseRepresentation
bin1010001111111…
…01000101011110
312222202210110000
411013331011132
5134002040134
612310355130
72062513113
oct507750536
9188683400
1085971294
114458a562
122495baa6
1314a712b6
14b5bc90a
157832e99
hex51fd15e

85971294 has 40 divisors (see below), whose sum is σ = 194660928. Its totient is φ = 28356480.

The previous prime is 85971293. The next prime is 85971299. The reversal of 85971294 is 49217958.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85971293) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12979 + ... + 18449.

Almost surely, 285971294 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85971294, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97330464).

85971294 is an abundant number, since it is smaller than the sum of its proper divisors (108689634).

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

85971294 is a wasteful number, since it uses less digits than its factorization.

85971294 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5582 (or 5573 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 85971294 is about 9272.0706425264. The cubic root of 85971294 is about 441.3513789856.

The spelling of 85971294 in words is "eighty-five million, nine hundred seventy-one thousand, two hundred ninety-four".

Divisors: 1 2 3 6 9 18 27 54 81 97 162 194 291 582 873 1746 2619 5238 5471 7857 10942 15714 16413 32826 49239 98478 147717 295434 443151 530687 886302 1061374 1592061 3184122 4776183 9552366 14328549 28657098 42985647 85971294