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44416328 = 2311796389
BaseRepresentation
bin1010100101101…
…1110101001000
310002120120202012
42221123311020
542332310303
64223555052
71046350445
oct251336510
9102516665
1044416328
1123087710
1212a5ba88
139281a68
145c829cc
153d755d8
hex2a5bd48

44416328 has 32 divisors (see below), whose sum is σ = 92016000. Its totient is φ = 19930560.

The previous prime is 44416327. The next prime is 44416331. The reversal of 44416328 is 82361444.

44416328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 44416294 and 44416303.

It is not an unprimeable number, because it can be changed into a prime (44416327) 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 7 ways as a sum of consecutive naturals, for example, 3758 + ... + 10146.

It is an arithmetic number, because the mean of its divisors is an integer number (2875500).

Almost surely, 244416328 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 44416328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46008000).

44416328 is an abundant number, since it is smaller than the sum of its proper divisors (47599672).

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

44416328 is a wasteful number, since it uses less digits than its factorization.

44416328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6485 (or 6481 counting only the distinct ones).

The product of its digits is 18432, while the sum is 32.

The square root of 44416328 is about 6664.5575997211. The cubic root of 44416328 is about 354.1448118525.

Subtracting 44416328 from its reverse (82361444), we obtain a triangular number (37945116 = T8711).

It can be divided in two parts, 44416 and 328, that added together give a palindrome (44744).

The spelling of 44416328 in words is "forty-four million, four hundred sixteen thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 22 44 79 88 158 316 632 869 1738 3476 6389 6952 12778 25556 51112 70279 140558 281116 504731 562232 1009462 2018924 4037848 5552041 11104082 22208164 44416328