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44284500 = 22325313757
BaseRepresentation
bin1010100011101…
…1101001010100
310002022212220200
42220323221110
542314101000
64221100500
71045261221
oct250735124
9102285820
1044284500
1122aa7667
12129b7730
139236a60
145c4a948
153d4b500
hex2a3ba54

44284500 has 144 divisors (see below), whose sum is σ = 150647952. Its totient is φ = 10886400.

The previous prime is 44284489. The next prime is 44284517. The reversal of 44284500 is 548244.

44284500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 20196036 + 24088464 = 4494^2 + 4908^2 .

It is a super-2 number, since 2×442845002 = 3922233880500000, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 58122 + ... + 58878.

Almost surely, 244284500 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 44284500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75323976).

44284500 is an abundant number, since it is smaller than the sum of its proper divisors (106363452).

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

44284500 is a wasteful number, since it uses less digits than its factorization.

44284500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 44284500 is about 6654.6600213685. The cubic root of 44284500 is about 353.7940964812.

The spelling of 44284500 in words is "forty-four million, two hundred eighty-four thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 25 26 30 36 39 45 50 52 60 65 75 78 90 100 117 125 130 150 156 180 195 225 234 250 260 300 325 375 390 450 468 500 585 650 750 757 780 900 975 1125 1170 1300 1500 1514 1625 1950 2250 2271 2340 2925 3028 3250 3785 3900 4500 4542 4875 5850 6500 6813 7570 9084 9750 9841 11355 11700 13626 14625 15140 18925 19500 19682 22710 27252 29250 29523 34065 37850 39364 45420 49205 56775 58500 59046 68130 75700 88569 94625 98410 113550 118092 136260 147615 170325 177138 189250 196820 227100 246025 283875 295230 340650 354276 378500 442845 492050 567750 590460 681300 738075 851625 885690 984100 1135500 1230125 1476150 1703250 1771380 2214225 2460250 2952300 3406500 3690375 4428450 4920500 7380750 8856900 11071125 14761500 22142250 44284500