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16444008 = 2332725979
BaseRepresentation
bin111110101110…
…101001101000
31010221102221100
4332232221220
513202202013
61344241400
7256525500
oct76565150
933842840
1016444008
119311699
125610260
1335399a9
142280a00
15169c473
hexfaea68

16444008 has 144 divisors (see below), whose sum is σ = 53352000. Its totient is φ = 4560192.

The previous prime is 16444007. The next prime is 16444019. The reversal of 16444008 is 80044461.

It is a super-3 number, since 3×164440083 (a number of 23 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (16444003) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 208113 + ... + 208191.

It is an arithmetic number, because the mean of its divisors is an integer number (370500).

Almost surely, 216444008 is an apocalyptic number.

16444008 is a gapful number since it is divisible by the number (18) 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 16444008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26676000).

16444008 is an abundant number, since it is smaller than the sum of its proper divisors (36907992).

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

16444008 is a wasteful number, since it uses less digits than its factorization.

16444008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 16444008 is about 4055.1212065732. The cubic root of 16444008 is about 254.2938711230.

Adding to 16444008 its reverse (80044461), we get a palindrome (96488469).

The spelling of 16444008 in words is "sixteen million, four hundred forty-four thousand, eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 59 63 72 79 84 98 118 126 147 158 168 177 196 236 237 252 294 316 354 392 413 441 472 474 504 531 553 588 632 708 711 826 882 948 1062 1106 1176 1239 1416 1422 1652 1659 1764 1896 2124 2212 2478 2844 2891 3304 3318 3528 3717 3871 4248 4424 4661 4956 4977 5688 5782 6636 7434 7742 8673 9322 9912 9954 11564 11613 13272 13983 14868 15484 17346 18644 19908 23128 23226 26019 27966 29736 30968 32627 34692 34839 37288 39816 41949 46452 52038 55932 65254 69384 69678 83898 92904 97881 104076 111864 130508 139356 167796 195762 208152 228389 261016 278712 293643 335592 391524 456778 587286 685167 783048 913556 1174572 1370334 1827112 2055501 2349144 2740668 4111002 5481336 8222004 16444008