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44008020 = 22325753659
BaseRepresentation
bin1010011111100…
…0001001010100
310001210211122200
42213320021110
542231224040
64211124500
71043030160
oct247701124
9101724580
1044008020
1122928971
12128a3730
13916ac64
145bb7ca0
153ce4630
hex29f8254

44008020 has 144 divisors (see below), whose sum is σ = 155675520. Its totient is φ = 9854208.

The previous prime is 44007979. The next prime is 44008031. The reversal of 44008020 is 2080044.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 44007984 and 44008002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66451 + ... + 67109.

It is an arithmetic number, because the mean of its divisors is an integer number (1081080).

Almost surely, 244008020 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 44008020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77837760).

44008020 is an abundant number, since it is smaller than the sum of its proper divisors (111667500).

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

44008020 is a wasteful number, since it uses less digits than its factorization.

44008020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 44008020 is about 6633.8540834118. The cubic root of 44008020 is about 353.0562817702.

Adding to 44008020 its reverse (2080044), we get a palindrome (46088064).

The spelling of 44008020 in words is "forty-four million, eight thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 53 60 63 70 84 90 105 106 126 140 159 180 210 212 252 265 315 318 371 420 477 530 630 636 659 742 795 954 1060 1113 1260 1318 1484 1590 1855 1908 1977 2226 2385 2636 3180 3295 3339 3710 3954 4452 4613 4770 5565 5931 6590 6678 7420 7908 9226 9540 9885 11130 11862 13180 13356 13839 16695 18452 19770 22260 23065 23724 27678 29655 33390 34927 39540 41517 46130 55356 59310 66780 69195 69854 83034 92260 104781 118620 138390 139708 166068 174635 207585 209562 244489 276780 314343 349270 415170 419124 488978 523905 628686 698540 733467 830340 977956 1047810 1222445 1257372 1466934 1571715 2095620 2200401 2444890 2933868 3143430 3667335 4400802 4889780 6286860 7334670 8801604 11002005 14669340 22004010 44008020