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9116424 = 2332532389
BaseRepresentation
bin100010110001…
…101100001000
3122011011101100
4202301230020
54313211144
6523221400
7140326332
oct42615410
918134340
109116424
115167339
123077860
131b72645
1412d4452
15c01269
hex8b1b08

9116424 has 48 divisors (see below), whose sum is σ = 25166700. Its totient is φ = 2980224.

The previous prime is 9116423. The next prime is 9116461. The reversal of 9116424 is 4246119.

9116424 is a `hidden beast` number, since 9 + 11 + 642 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9108324 + 8100 = 3018^2 + 90^2 .

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 (9116423) 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, 2622 + ... + 5010.

Almost surely, 29116424 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 9116424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12583350).

9116424 is an abundant number, since it is smaller than the sum of its proper divisors (16050276).

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

9116424 is a wasteful number, since it uses less digits than its factorization.

9116424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2454 (or 2447 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 9116424 is about 3019.3416500953. The cubic root of 9116424 is about 208.9014744358.

The spelling of 9116424 in words is "nine million, one hundred sixteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 318 424 477 636 954 1272 1908 2389 3816 4778 7167 9556 14334 19112 21501 28668 43002 57336 86004 126617 172008 253234 379851 506468 759702 1012936 1139553 1519404 2279106 3038808 4558212 9116424