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9444006 = 23311131223
BaseRepresentation
bin100100000001…
…101010100110
3122202210202000
4210001222212
54404202011
6534230130
7143162355
oct44015246
918683660
109444006
115370470
1231b5346
131c58790
14137b99c
15c68356
hex901aa6

9444006 has 64 divisors (see below), whose sum is σ = 24675840. Its totient is φ = 2639520.

The previous prime is 9443977. The next prime is 9444013. The reversal of 9444006 is 6004449.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7111 + ... + 8333.

It is an arithmetic number, because the mean of its divisors is an integer number (385560).

Almost surely, 29444006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9444006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12337920).

9444006 is an abundant number, since it is smaller than the sum of its proper divisors (15231834).

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

9444006 is a wasteful number, since it uses less digits than its factorization.

9444006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 9444006 is about 3073.1101509708. The cubic root of 9444006 is about 211.3742524987.

It can be divided in two parts, 944 and 4006, that added together give a triangular number (4950 = T99).

The spelling of 9444006 in words is "nine million, four hundred forty-four thousand, six".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 54 66 78 99 117 143 198 234 286 297 351 429 594 702 858 1223 1287 2446 2574 3669 3861 7338 7722 11007 13453 15899 22014 26906 31798 33021 40359 47697 66042 80718 95394 121077 143091 174889 242154 286182 349778 363231 429273 524667 726462 858546 1049334 1574001 3148002 4722003 9444006