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928112 = 24194371
BaseRepresentation
bin11100010100101110000
31202011010112
43202211300
5214144422
631520452
710613603
oct3424560
91664115
10928112
11584339
12389128
132665a3
141a233a
15134ee2
hexe2970

928112 has 40 divisors (see below), whose sum is σ = 1964160. Its totient is φ = 423360.

The previous prime is 928111. The next prime is 928139. The reversal of 928112 is 211829.

It is a super-2 number, since 2×9281122 = 1722783769088, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (928111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13037 + ... + 13107.

It is an arithmetic number, because the mean of its divisors is an integer number (49104).

2928112 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 928112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982080).

928112 is an abundant number, since it is smaller than the sum of its proper divisors (1036048).

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

928112 is a wasteful number, since it uses less digits than its factorization.

928112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 135 counting only the distinct ones).

The product of its digits is 288, while the sum is 23.

The square root of 928112 is about 963.3856963854. The cubic root of 928112 is about 97.5439030858.

The spelling of 928112 in words is "nine hundred twenty-eight thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19 38 43 71 76 86 142 152 172 284 304 344 568 688 817 1136 1349 1634 2698 3053 3268 5396 6106 6536 10792 12212 13072 21584 24424 48848 58007 116014 232028 464056 928112