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11004444 = 22331159157
BaseRepresentation
bin101001111110…
…101000011100
3202201002021000
4221332220130
510304120234
61031510300
7162351633
oct51765034
922632230
1011004444
116236890
123828390
132383b09
14166651a
15e75899
hexa7ea1c

11004444 has 96 divisors (see below), whose sum is σ = 31852800. Its totient is φ = 3257280.

The previous prime is 11004437. The next prime is 11004451. The reversal of 11004444 is 44440011.

It is an interprime number because it is at equal distance from previous prime (11004437) and next prime (11004451).

It is a Harshad number since it is a multiple of its sum of digits (18).

11004444 is a modest number, since divided by 4444 gives 1100 as remainder.

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70014 + ... + 70170.

It is an arithmetic number, because the mean of its divisors is an integer number (331800).

Almost surely, 211004444 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 11004444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15926400).

11004444 is an abundant number, since it is smaller than the sum of its proper divisors (20848356).

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

11004444 is a wasteful number, since it uses less digits than its factorization.

11004444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 11004444 is about 3317.2946809109. The cubic root of 11004444 is about 222.4279546232.

Adding to 11004444 its reverse (44440011), we get a palindrome (55444455).

The spelling of 11004444 in words is "eleven million, four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 59 66 99 108 118 132 157 177 198 236 297 314 354 396 471 531 594 628 649 708 942 1062 1188 1298 1413 1593 1727 1884 1947 2124 2596 2826 3186 3454 3894 4239 5181 5652 5841 6372 6908 7788 8478 9263 10362 11682 15543 16956 17523 18526 20724 23364 27789 31086 35046 37052 46629 55578 62172 70092 83367 93258 101893 111156 166734 186516 203786 250101 305679 333468 407572 500202 611358 917037 1000404 1222716 1834074 2751111 3668148 5502222 11004444