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44009100 = 223252107457
BaseRepresentation
bin1010011111100…
…0011010001100
310001210220010200
42213320122030
542231242400
64211133500
71043033262
oct247703214
9101726120
1044009100
1122929763
12128a4290
13916b5b5
145bb8432
153ce4b00
hex29f868c

44009100 has 108 divisors (see below), whose sum is σ = 139537944. Its totient is φ = 11600640.

The previous prime is 44009071. The next prime is 44009117. The reversal of 44009100 is 190044.

44009100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 35 ways as a sum of consecutive naturals, for example, 96072 + ... + 96528.

It is an arithmetic number, because the mean of its divisors is an integer number (1292018).

Almost surely, 244009100 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 44009100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69768972).

44009100 is an abundant number, since it is smaller than the sum of its proper divisors (95528844).

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

44009100 is a wasteful number, since it uses less digits than its factorization.

44009100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 44009100 is about 6633.9354835573. The cubic root of 44009100 is about 353.0591698624.

Adding to 44009100 its reverse (190044), we get a palindrome (44199144).

The spelling of 44009100 in words is "forty-four million, nine thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 107 150 180 214 225 300 321 428 450 457 535 642 900 914 963 1070 1284 1371 1605 1828 1926 2140 2285 2675 2742 3210 3852 4113 4570 4815 5350 5484 6420 6855 8025 8226 9140 9630 10700 11425 13710 16050 16452 19260 20565 22850 24075 27420 32100 34275 41130 45700 48150 48899 68550 82260 96300 97798 102825 137100 146697 195596 205650 244495 293394 411300 440091 488990 586788 733485 880182 977980 1222475 1466970 1760364 2200455 2444950 2933940 3667425 4400910 4889900 7334850 8801820 11002275 14669700 22004550 44009100