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9441144 = 2333109401
BaseRepresentation
bin100100000000…
…111101111000
3122202122211000
4210000331320
54404104034
6534205000
7143151126
oct44007570
918678730
109441144
1153692a9
1231b3760
131c5739b
14137a916
15c67599
hex900f78

9441144 has 64 divisors (see below), whose sum is σ = 26532000. Its totient is φ = 3110400.

The previous prime is 9441139. The next prime is 9441149. The reversal of 9441144 is 4411449.

It is an interprime number because it is at equal distance from previous prime (9441139) and next prime (9441149).

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9441149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23344 + ... + 23744.

Almost surely, 29441144 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 9441144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13266000).

9441144 is an abundant number, since it is smaller than the sum of its proper divisors (17090856).

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

9441144 is a wasteful number, since it uses less digits than its factorization.

9441144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 515 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 9441144 is about 3072.6444636502. The cubic root of 9441144 is about 211.3528980639.

The spelling of 9441144 in words is "nine million, four hundred forty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 109 216 218 327 401 436 654 802 872 981 1203 1308 1604 1962 2406 2616 2943 3208 3609 3924 4812 5886 7218 7848 9624 10827 11772 14436 21654 23544 28872 43308 43709 86616 87418 131127 174836 262254 349672 393381 524508 786762 1049016 1180143 1573524 2360286 3147048 4720572 9441144