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44028400 = 2452138467
BaseRepresentation
bin1010011111110…
…1000111110000
310001211212121111
42213331013300
542232402100
64211403104
71043143453
oct247750760
9101755544
1044028400
1122942209
12128b3494
139177310
145bc149a
153cea6ba
hex29fd1f0

44028400 has 60 divisors (see below), whose sum is σ = 113928472. Its totient is φ = 16254720.

The previous prime is 44028349. The next prime is 44028403. The reversal of 44028400 is 482044.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44028403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 967 + ... + 9433.

Almost surely, 244028400 is an apocalyptic number.

44028400 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 44028400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56964236).

44028400 is an abundant number, since it is smaller than the sum of its proper divisors (69900072).

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

44028400 is a wasteful number, since it uses less digits than its factorization.

44028400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8498 (or 8487 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 44028400 is about 6635.3899659327. The cubic root of 44028400 is about 353.1107731758.

The spelling of 44028400 in words is "forty-four million, twenty-eight thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 200 208 260 325 400 520 650 1040 1300 2600 5200 8467 16934 33868 42335 67736 84670 110071 135472 169340 211675 220142 338680 423350 440284 550355 677360 846700 880568 1100710 1693400 1761136 2201420 2751775 3386800 4402840 5503550 8805680 11007100 22014200 44028400