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9117216 = 253231657
BaseRepresentation
bin100010110001…
…111000100000
3122011012110200
4202301320200
54313222331
6523225200
7140331543
oct42617040
918135420
109117216
115167999
123078200
131b72b04
1412d485a
15c015e6
hex8b1e20

9117216 has 36 divisors (see below), whose sum is σ = 25927902. Its totient is φ = 3038976.

The previous prime is 9117209. The next prime is 9117221. The reversal of 9117216 is 6127119.

It can be written as a sum of positive squares in only one way, i.e., 7817616 + 1299600 = 2796^2 + 1140^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 9117216.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15541 + ... + 16116.

Almost surely, 29117216 is an apocalyptic number.

9117216 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

9117216 is an abundant number, since it is smaller than the sum of its proper divisors (16810686).

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

9117216 is a wasteful number, since it uses less digits than its factorization.

9117216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31673 (or 31662 counting only the distinct ones).

The product of its digits is 756, while the sum is 27.

The square root of 9117216 is about 3019.4728016659. The cubic root of 9117216 is about 208.9075237806.

The spelling of 9117216 in words is "nine million, one hundred seventeen thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 31657 63314 94971 126628 189942 253256 284913 379884 506512 569826 759768 1013024 1139652 1519536 2279304 3039072 4558608 9117216