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9444096 = 28324099
BaseRepresentation
bin100100000001…
…101100000000
3122202210212100
4210001230000
54404202341
6534230400
7143162544
oct44015400
918683770
109444096
115370542
1231b5400
131c5882c
14137ba24
15c683b6
hex901b00

9444096 has 54 divisors (see below), whose sum is σ = 27236300. Its totient is φ = 3147264.

The previous prime is 9444091. The next prime is 9444103. The reversal of 9444096 is 6904449.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 9444096.

It is not an unprimeable number, because it can be changed into a prime (9444091) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 255 + ... + 4353.

Almost surely, 29444096 is an apocalyptic number.

9444096 is a gapful number since it is divisible by the number (96) 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 9444096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13618150).

9444096 is an abundant number, since it is smaller than the sum of its proper divisors (17792204).

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

9444096 is a wasteful number, since it uses less digits than its factorization.

9444096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4121 (or 4104 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 9444096 is about 3073.1247940818. The cubic root of 9444096 is about 211.3749239518.

The spelling of 9444096 in words is "nine million, four hundred forty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 4099 8198 12297 16396 24594 32792 36891 49188 65584 73782 98376 131168 147564 196752 262336 295128 393504 524672 590256 787008 1049344 1180512 1574016 2361024 3148032 4722048 9444096