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9442944 = 273271171
BaseRepresentation
bin100100000001…
…011010000000
3122202202021200
4210001122000
54404133234
6534221200
7143156310
oct44013200
918682250
109442944
11536a695
1231b4800
131c58154
14137b440
15c67d99
hex901680

9442944 has 96 divisors (see below), whose sum is σ = 31081440. Its totient is φ = 2695680.

The previous prime is 9442933. The next prime is 9442963. The reversal of 9442944 is 4492449.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 9442899 and 9442908.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7479 + ... + 8649.

It is an arithmetic number, because the mean of its divisors is an integer number (323765).

Almost surely, 29442944 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 9442944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15540720).

9442944 is an abundant number, since it is smaller than the sum of its proper divisors (21638496).

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

9442944 is a wasteful number, since it uses less digits than its factorization.

9442944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1198 (or 1183 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 9442944 is about 3072.9373569925. The cubic root of 9442944 is about 211.3663290295.

The spelling of 9442944 in words is "nine million, four hundred forty-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1171 1344 2016 2342 2688 3513 4032 4684 7026 8064 8197 9368 10539 14052 16394 18736 21078 24591 28104 32788 37472 42156 49182 56208 65576 73773 74944 84312 98364 112416 131152 147546 149888 168624 196728 224832 262304 295092 337248 393456 449664 524608 590184 674496 786912 1049216 1180368 1348992 1573824 2360736 3147648 4721472 9442944