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44411328 = 263413659
BaseRepresentation
bin1010100101101…
…0100111000000
310002120022220000
42221122213000
542332130303
64223520000
71046330043
oct251324700
9102508800
1044411328
1123083985
1212a59000
13927c6c0
145c80c5a
153d73da3
hex2a5a9c0

44411328 has 140 divisors (see below), whose sum is σ = 141991080. Its totient is φ = 13644288.

The previous prime is 44411317. The next prime is 44411329. The reversal of 44411328 is 82311444.

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 (44411329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 67063 + ... + 67721.

It is an arithmetic number, because the mean of its divisors is an integer number (1014222).

Almost surely, 244411328 is an apocalyptic number.

44411328 is a gapful number since it is divisible by the number (48) 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 44411328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70995540).

44411328 is an abundant number, since it is smaller than the sum of its proper divisors (97579752).

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

44411328 is a wasteful number, since it uses less digits than its factorization.

44411328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 677 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 44411328 is about 6664.1824704910. The cubic root of 44411328 is about 354.1315225166.

The spelling of 44411328 in words is "forty-four million, four hundred eleven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 81 96 104 108 117 144 156 162 192 208 216 234 288 312 324 351 416 432 468 576 624 648 659 702 832 864 936 1053 1248 1296 1318 1404 1728 1872 1977 2106 2496 2592 2636 2808 3744 3954 4212 5184 5272 5616 5931 7488 7908 8424 8567 10544 11232 11862 15816 16848 17134 17793 21088 22464 23724 25701 31632 33696 34268 35586 42176 47448 51402 53379 63264 67392 68536 71172 77103 94896 102804 106758 126528 137072 142344 154206 189792 205608 213516 231309 274144 284688 308412 379584 411216 427032 462618 548288 569376 616824 693927 822432 854064 925236 1138752 1233648 1387854 1644864 1708128 1850472 2467296 2775708 3416256 3700944 4934592 5551416 7401888 11102832 14803776 22205664 44411328