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44104164 = 223132691051
BaseRepresentation
bin1010100000111…
…1100111100100
310001222201112120
42220033213210
542242313124
64213145540
71043610366
oct250174744
9101881476
1044104164
1122994125
121292b2b0
1391a2950
145c00d36
153d12d79
hex2a0f9e4

44104164 has 48 divisors (see below), whose sum is σ = 111343680. Its totient is φ = 13507200.

The previous prime is 44104153. The next prime is 44104169. The reversal of 44104164 is 46140144.

44104164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (44104169) 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 15 ways as a sum of consecutive naturals, for example, 41439 + ... + 42489.

It is an arithmetic number, because the mean of its divisors is an integer number (2319660).

Almost surely, 244104164 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 44104164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55671840).

44104164 is an abundant number, since it is smaller than the sum of its proper divisors (67239516).

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

44104164 is a wasteful number, since it uses less digits than its factorization.

44104164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 44104164 is about 6641.0965961955. The cubic root of 44104164 is about 353.3132012579.

The spelling of 44104164 in words is "forty-four million, one hundred four thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 269 538 807 1051 1076 1614 2102 3153 3228 3497 4204 6306 6994 10491 12612 13663 13988 20982 27326 40989 41964 54652 81978 163956 282719 565438 848157 1130876 1696314 3392628 3675347 7350694 11026041 14701388 22052082 44104164