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9683648 = 2613103113
BaseRepresentation
bin100100111100…
…001011000000
3200012222110122
4210330023000
54434334043
6543315412
7145211132
oct44741300
920188418
109683648
115514517
1232abb68
132010890
141401052
15cb4368
hex93c2c0

9683648 has 56 divisors (see below), whose sum is σ = 21079968. Its totient is φ = 4386816.

The previous prime is 9683647. The next prime is 9683657. The reversal of 9683648 is 8463869.

It is a junction number, because it is equal to n+sod(n) for n = 9683599 and 9683608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9683647) 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, 85640 + ... + 85752.

It is an arithmetic number, because the mean of its divisors is an integer number (376428).

Almost surely, 29683648 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 9683648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10539984).

9683648 is an abundant number, since it is smaller than the sum of its proper divisors (11396320).

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

9683648 is a wasteful number, since it uses less digits than its factorization.

9683648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 231 counting only the distinct ones).

The product of its digits is 248832, while the sum is 44.

The square root of 9683648 is about 3111.8560378012. The cubic root of 9683648 is about 213.1472161463.

The spelling of 9683648 in words is "nine million, six hundred eighty-three thousand, six hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 103 104 113 206 208 226 412 416 452 824 832 904 1339 1469 1648 1808 2678 2938 3296 3616 5356 5876 6592 7232 10712 11639 11752 21424 23278 23504 42848 46556 47008 85696 93112 94016 151307 186224 302614 372448 605228 744896 1210456 2420912 4841824 9683648