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44169840 = 24335112132
BaseRepresentation
bin1010100001111…
…1101001110000
310002010001122000
42220133221300
542301413330
64214414000
71044303021
oct250375160
9102101560
1044169840
1122a29500
1212961300
1391c6800
145c1ac48
153d27560
hex2a1fa70

44169840 has 360 divisors, whose sum is σ = 181082160. Its totient is φ = 9884160.

The previous prime is 44169809. The next prime is 44169863. The reversal of 44169840 is 4896144.

It is a happy number.

44169840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 44169795 and 44169804.

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 71 ways as a sum of consecutive naturals, for example, 3397674 + ... + 3397686.

It is an arithmetic number, because the mean of its divisors is an integer number (503006).

Almost surely, 244169840 is an apocalyptic number.

44169840 is a gapful number since it is divisible by the number (40) 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 44169840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90541080).

44169840 is an abundant number, since it is smaller than the sum of its proper divisors (136912320).

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

44169840 is a wasteful number, since it uses less digits than its factorization.

44169840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 44169840 is about 6646.0394220919. The cubic root of 44169840 is about 353.4884884821.

The spelling of 44169840 in words is "forty-four million, one hundred sixty-nine thousand, eight hundred forty".