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9389968 = 24732959
BaseRepresentation
bin100011110100…
…011110010000
3122200001121121
4203310132100
54400434333
6533132024
7142546000
oct43643620
918601547
109389968
115333905
12318a014
131c39cc3
141366000
15c5732d
hex8f4790

9389968 has 80 divisors (see below), whose sum is σ = 22320000. Its totient is φ = 3819648.

The previous prime is 9389951. The next prime is 9389977. The reversal of 9389968 is 8699839.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159123 + ... + 159181.

It is an arithmetic number, because the mean of its divisors is an integer number (279000).

Almost surely, 29389968 is an apocalyptic number.

9389968 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9389968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11160000).

9389968 is an abundant number, since it is smaller than the sum of its proper divisors (12930032).

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

9389968 is a wasteful number, since it uses less digits than its factorization.

9389968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 97 counting only the distinct ones).

The product of its digits is 839808, while the sum is 52.

The square root of 9389968 is about 3064.3054678018. The cubic root of 9389968 is about 210.9703244355.

The spelling of 9389968 in words is "nine million, three hundred eighty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 29 49 56 58 59 98 112 116 118 196 203 232 236 343 392 406 413 464 472 686 784 812 826 944 1372 1421 1624 1652 1711 2744 2842 2891 3248 3304 3422 5488 5684 5782 6608 6844 9947 11368 11564 11977 13688 19894 20237 22736 23128 23954 27376 39788 40474 46256 47908 79576 80948 83839 95816 159152 161896 167678 191632 323792 335356 586873 670712 1173746 1341424 2347492 4694984 9389968