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9889128 = 23355087
BaseRepresentation
bin100101101110…
…010101101000
3200121102100000
4211232111220
510012423003
6551543000
7150025164
oct45562550
920542300
109889128
115644937
12338aa60
132083272
141455ca4
15d051a3
hex96e568

9889128 has 48 divisors (see below), whose sum is σ = 27780480. Its totient is φ = 3295728.

The previous prime is 9889123. The next prime is 9889147. The reversal of 9889128 is 8219889.

9889128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (9889123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 600 + ... + 4487.

It is an arithmetic number, because the mean of its divisors is an integer number (578760).

Almost surely, 29889128 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 9889128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13890240).

9889128 is an abundant number, since it is smaller than the sum of its proper divisors (17891352).

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

9889128 is a wasteful number, since it uses less digits than its factorization.

9889128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5108 (or 5092 counting only the distinct ones).

The product of its digits is 82944, while the sum is 45.

The square root of 9889128 is about 3144.6983957130. The cubic root of 9889128 is about 214.6442865103.

The spelling of 9889128 in words is "nine million, eight hundred eighty-nine thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 972 1944 5087 10174 15261 20348 30522 40696 45783 61044 91566 122088 137349 183132 274698 366264 412047 549396 824094 1098792 1236141 1648188 2472282 3296376 4944564 9889128