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11000444 = 2271347643
BaseRepresentation
bin101001111101…
…101001111100
3202200212202212
4221331221330
510304003234
61031435552
7162334160
oct51755174
922625685
1011000444
116233884
123825bb8
132382050
141664ca0
15e745ce
hexa7da7c

11000444 has 48 divisors (see below), whose sum is σ = 24235008. Its totient is φ = 4252608.

The previous prime is 11000441. The next prime is 11000461. The reversal of 11000444 is 44400011.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000441) 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, 16787 + ... + 17429.

It is an arithmetic number, because the mean of its divisors is an integer number (504896).

Almost surely, 211000444 is an apocalyptic number.

11000444 is a gapful number since it is divisible by the number (14) 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 11000444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12117504).

11000444 is an abundant number, since it is smaller than the sum of its proper divisors (13234564).

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

11000444 is a wasteful number, since it uses less digits than its factorization.

11000444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 11000444 is about 3316.6917251985. The cubic root of 11000444 is about 222.4010012808.

Adding to 11000444 its reverse (44400011), we get a palindrome (55400455).

The spelling of 11000444 in words is "eleven million, four hundred forty-four", and thus it is an aban number.

Divisors: 1 2 4 7 13 14 26 28 47 52 91 94 182 188 329 364 611 643 658 1222 1286 1316 2444 2572 4277 4501 8359 8554 9002 16718 17108 18004 30221 33436 58513 60442 117026 120884 211547 234052 392873 423094 785746 846188 1571492 2750111 5500222 11000444