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44411004 = 22341117733
BaseRepresentation
bin1010100101101…
…0100001111100
310002120022110000
42221122201330
542332123004
64223514300
71046326101
oct251324174
9102508400
1044411004
1123083710
1212a58990
13927c501
145c80aa8
153d73c39
hex2a5a87c

44411004 has 120 divisors (see below), whose sum is σ = 134286768. Its totient is φ = 12648960.

The previous prime is 44410981. The next prime is 44411009. The reversal of 44411004 is 40011444.

44411004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44411009) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 60222 + ... + 60954.

Almost surely, 244411004 is an apocalyptic number.

44411004 is a gapful number since it is divisible by the number (44) 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 44411004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67143384).

44411004 is an abundant number, since it is smaller than the sum of its proper divisors (89875764).

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

44411004 is a wasteful number, since it uses less digits than its factorization.

44411004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 766 counting only the distinct ones).

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

The square root of 44411004 is about 6664.1581613884. The cubic root of 44411004 is about 354.1306613332.

Adding to 44411004 its reverse (40011444), we get a palindrome (84422448).

It can be divided in two parts, 4441 and 1004, that added together give a palindrome (5445).

The spelling of 44411004 in words is "forty-four million, four hundred eleven thousand, four".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 27 33 34 36 44 51 54 66 68 81 99 102 108 132 153 162 187 198 204 297 306 324 374 396 459 561 594 612 733 748 891 918 1122 1188 1377 1466 1683 1782 1836 2199 2244 2754 2932 3366 3564 4398 5049 5508 6597 6732 8063 8796 10098 12461 13194 15147 16126 19791 20196 24189 24922 26388 30294 32252 37383 39582 48378 49844 59373 60588 72567 74766 79164 96756 112149 118746 137071 145134 149532 217701 224298 237492 274142 290268 336447 411213 435402 448596 548284 653103 672894 822426 870804 1009341 1233639 1306206 1345788 1644852 2018682 2467278 2612412 3700917 4037364 4934556 7401834 11102751 14803668 22205502 44411004