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44039840 = 2551331683
BaseRepresentation
bin1010011111111…
…1111010100000
310001212110022012
42213333322200
542233233330
64211532052
71043222015
oct247777240
9101773265
1044039840
112294a869
12128ba028
13917c5a0
145bc570c
153cedc95
hex29ffea0

44039840 has 96 divisors (see below), whose sum is σ = 115831296. Its totient is φ = 15713280.

The previous prime is 44039803. The next prime is 44039851. The reversal of 44039840 is 4893044.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 44039797 and 44039806.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64139 + ... + 64821.

It is an arithmetic number, because the mean of its divisors is an integer number (1206576).

Almost surely, 244039840 is an apocalyptic number.

44039840 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 44039840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57915648).

44039840 is an abundant number, since it is smaller than the sum of its proper divisors (71791456).

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

44039840 is a wasteful number, since it uses less digits than its factorization.

44039840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 44039840 is about 6636.2519542284. The cubic root of 44039840 is about 353.1413537209.

The spelling of 44039840 in words is "forty-four million, thirty-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 31 32 40 52 62 65 80 104 124 130 155 160 208 248 260 310 403 416 496 520 620 683 806 992 1040 1240 1366 1612 2015 2080 2480 2732 3224 3415 4030 4960 5464 6448 6830 8060 8879 10928 12896 13660 16120 17758 21173 21856 27320 32240 35516 42346 44395 54640 64480 71032 84692 88790 105865 109280 142064 169384 177580 211730 275249 284128 338768 355160 423460 550498 677536 710320 846920 1100996 1376245 1420640 1693840 2201992 2752490 3387680 4403984 5504980 8807968 11009960 22019920 44039840