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14443968 = 263711977
BaseRepresentation
bin110111000110…
…010111000000
31000011211101210
4313012113000
512144201333
61233330120
7233525460
oct67062700
930154353
1014443968
118175a70
124a06940
132cb9536
141cbdba0
151404a63
hexdc65c0

14443968 has 112 divisors (see below), whose sum is σ = 47695104. Its totient is φ = 3747840.

The previous prime is 14443963. The next prime is 14443969. The reversal of 14443968 is 86934441.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14443963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14296 + ... + 15272.

Almost surely, 214443968 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 14443968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23847552).

14443968 is an abundant number, since it is smaller than the sum of its proper divisors (33251136).

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

14443968 is a wasteful number, since it uses less digits than its factorization.

14443968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010 (or 1000 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 14443968 is about 3800.5220694005. The cubic root of 14443968 is about 243.5354414356.

The spelling of 14443968 in words is "fourteen million, four hundred forty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 132 154 168 176 192 224 231 264 308 336 352 448 462 528 616 672 704 924 977 1056 1232 1344 1848 1954 2112 2464 2931 3696 3908 4928 5862 6839 7392 7816 10747 11724 13678 14784 15632 20517 21494 23448 27356 31264 32241 41034 42988 46896 54712 62528 64482 75229 82068 85976 93792 109424 128964 150458 164136 171952 187584 218848 225687 257928 300916 328272 343904 437696 451374 515856 601832 656544 687808 902748 1031712 1203664 1313088 1805496 2063424 2407328 3610992 4814656 7221984 14443968