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985312 = 2541751
BaseRepresentation
bin11110000100011100000
31212001121001
43300203200
5223012222
633041344
711242426
oct3604340
91761531
10985312
11613309
123b6254
13286633
141b9116
15146e27
hexf08e0

985312 has 24 divisors (see below), whose sum is σ = 1989792. Its totient is φ = 480000.

The previous prime is 985307. The next prime is 985331. The reversal of 985312 is 213589.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

985312 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 937 + ... + 1687.

It is an arithmetic number, because the mean of its divisors is an integer number (82908).

2985312 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 985312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (994896).

985312 is an abundant number, since it is smaller than the sum of its proper divisors (1004480).

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

985312 is a wasteful number, since it uses less digits than its factorization.

985312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802 (or 794 counting only the distinct ones).

The product of its digits is 2160, while the sum is 28.

The square root of 985312 is about 992.6288329481. The cubic root of 985312 is about 99.5079831646.

The spelling of 985312 in words is "nine hundred eighty-five thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 41 82 164 328 656 751 1312 1502 3004 6008 12016 24032 30791 61582 123164 246328 492656 985312