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44404416 = 263373671
BaseRepresentation
bin1010100101100…
…0111011000000
310002112222102000
42221120323000
542331420131
64223424000
71046300640
oct251307300
9102488360
1044404416
1123079771
1212a55000
139279504
145c7c520
153d71ce6
hex2a58ec0

44404416 has 112 divisors (see below), whose sum is σ = 149230080. Its totient is φ = 12683520.

The previous prime is 44404397. The next prime is 44404417. The reversal of 44404416 is 61440444.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a self number, because there is not a number n which added to its sum of digits gives 44404416.

It is not an unprimeable number, because it can be changed into a prime (44404417) 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 15 ways as a sum of consecutive naturals, for example, 10261 + ... + 13931.

Almost surely, 244404416 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 44404416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74615040).

44404416 is an abundant number, since it is smaller than the sum of its proper divisors (104825664).

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

44404416 is a wasteful number, since it uses less digits than its factorization.

44404416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3699 (or 3683 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 44404416 is about 6663.6638570684. The cubic root of 44404416 is about 354.1131496960.

The spelling of 44404416 in words is "forty-four million, four hundred four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 3024 3671 4032 6048 7342 11013 12096 14684 22026 25697 29368 33039 44052 51394 58736 66078 77091 88104 99117 102788 117472 132156 154182 176208 198234 205576 231273 234944 264312 308364 352416 396468 411152 462546 528624 616728 693819 704832 792936 822304 925092 1057248 1233456 1387638 1585872 1644608 1850184 2114496 2466912 2775276 3171744 3700368 4933824 5550552 6343488 7400736 11101104 14801472 22202208 44404416