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44284100 = 22527411543
BaseRepresentation
bin1010100011101…
…1100011000100
310002022212100212
42220323203010
542314042400
64221054552
71045260110
oct250734304
9102285325
1044284100
1122aa7333
12129b7458
139236813
145c4a740
153d4b335
hex2a3b8c4

44284100 has 72 divisors (see below), whose sum is σ = 112576128. Its totient is φ = 14803200.

The previous prime is 44284087. The next prime is 44284103. The reversal of 44284100 is 148244.

It is a super-2 number, since 2×442841002 = 3922163025620000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (44284103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27929 + ... + 29471.

Almost surely, 244284100 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 44284100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56288064).

44284100 is an abundant number, since it is smaller than the sum of its proper divisors (68292028).

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

44284100 is a wasteful number, since it uses less digits than its factorization.

44284100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1605 (or 1598 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

The square root of 44284100 is about 6654.6299671732. The cubic root of 44284100 is about 353.7930312622.

The spelling of 44284100 in words is "forty-four million, two hundred eighty-four thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 41 50 70 82 100 140 164 175 205 287 350 410 574 700 820 1025 1148 1435 1543 2050 2870 3086 4100 5740 6172 7175 7715 10801 14350 15430 21602 28700 30860 38575 43204 54005 63263 77150 108010 126526 154300 216020 253052 270025 316315 442841 540050 632630 885682 1080100 1265260 1581575 1771364 2214205 3163150 4428410 6326300 8856820 11071025 22142050 44284100