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44006040 = 23325139403
BaseRepresentation
bin1010011111011…
…1101010011000
310001210201221100
42213313222120
542231143130
64211111400
71043021331
oct247675230
9101721840
1044006040
1122927431
12128a2560
13916a0a0
145bb7288
153ce3c60
hex29f7a98

44006040 has 96 divisors (see below), whose sum is σ = 154037520. Its totient is φ = 10831104.

The previous prime is 44006009. The next prime is 44006063. The reversal of 44006040 is 4060044.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22 + ... + 9381.

Almost surely, 244006040 is an apocalyptic number.

44006040 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 44006040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77018760).

44006040 is an abundant number, since it is smaller than the sum of its proper divisors (110031480).

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

44006040 is a wasteful number, since it uses less digits than its factorization.

44006040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9433 (or 9426 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 44006040 is about 6633.7048472177. The cubic root of 44006040 is about 353.0509868116.

Adding to 44006040 its reverse (4060044), we get a palindrome (48066084).

It can be divided in two parts, 4400 and 6040, that added together give a triangular number (10440 = T144).

The spelling of 44006040 in words is "forty-four million, six thousand, forty", and thus it is an eban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 9403 18806 28209 37612 47015 56418 75224 84627 94030 112836 122239 141045 169254 188060 225672 244478 282090 338508 366717 376120 423135 488956 564180 611195 677016 733434 846270 977912 1100151 1128360 1222390 1466868 1692540 1833585 2200302 2444780 2933736 3385080 3667170 4400604 4889560 5500755 7334340 8801208 11001510 14668680 22003020 44006040