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9628112 = 2413411129
BaseRepresentation
bin100100101110…
…100111010000
3200010011021202
4210232213100
54431044422
6542210332
7144560204
oct44564720
920104252
109628112
11548681a
1232839a8
131cc1510
1413c8b04
15ca2b92
hex92e9d0

9628112 has 40 divisors (see below), whose sum is σ = 20597640. Its totient is φ = 4331520.

The previous prime is 9628111. The next prime is 9628121. The reversal of 9628112 is 2118269.

It can be written as a sum of positive squares in 4 ways, for example, as 1008016 + 8620096 = 1004^2 + 2936^2 .

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9628111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7964 + ... + 9092.

It is an arithmetic number, because the mean of its divisors is an integer number (514941).

Almost surely, 29628112 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 9628112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10298820).

9628112 is an abundant number, since it is smaller than the sum of its proper divisors (10969528).

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

9628112 is a wasteful number, since it uses less digits than its factorization.

9628112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191 (or 1185 counting only the distinct ones).

The product of its digits is 1728, while the sum is 29.

The square root of 9628112 is about 3102.9199151767. The cubic root of 9628112 is about 212.7389662339.

The spelling of 9628112 in words is "nine million, six hundred twenty-eight thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 41 52 82 104 164 208 328 533 656 1066 1129 2132 2258 4264 4516 8528 9032 14677 18064 29354 46289 58708 92578 117416 185156 234832 370312 601757 740624 1203514 2407028 4814056 9628112