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9936896 = 2131213
BaseRepresentation
bin100101111010…
…000000000000
3200200211212012
4211322000000
510020440041
6552552052
7150314354
oct45720000
920624765
109936896
115677812
1233b2628
13209bc28
141469464
15d143eb
hex97a000

9936896 has 28 divisors (see below), whose sum is σ = 19888962. Its totient is φ = 4964352.

The previous prime is 9936893. The next prime is 9936907. The reversal of 9936896 is 6986399.

It can be written as a sum of positive squares in only one way, i.e., 9834496 + 102400 = 3136^2 + 320^2 .

It is a super-2 number, since 2×99368962 = 197483804229632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9936893) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7586 + ... + 8798.

Almost surely, 29936896 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 9936896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9944481).

9936896 is an abundant number, since it is smaller than the sum of its proper divisors (9952066).

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

9936896 is an equidigital number, since it uses as much as digits as its factorization.

9936896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239 (or 1215 counting only the distinct ones).

The product of its digits is 629856, while the sum is 50.

The square root of 9936896 is about 3152.2842511423. The cubic root of 9936896 is about 214.9893342465.

The spelling of 9936896 in words is "nine million, nine hundred thirty-six thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 1213 2048 2426 4096 4852 8192 9704 19408 38816 77632 155264 310528 621056 1242112 2484224 4968448 9936896