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14441672 = 237319277
BaseRepresentation
bin110111000101…
…110011001000
31000011201020202
4313011303020
512144113142
61233311332
7233516000
oct67056310
930151222
1014441672
118174273
124a05548
132cb848b
141cbd000
151404032
hexdc5cc8

14441672 has 64 divisors (see below), whose sum is σ = 33360000. Its totient is φ = 5842368.

The previous prime is 14441641. The next prime is 14441699. The reversal of 14441672 is 27614441.

It is a happy number.

14441672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 51998 + ... + 52274.

It is an arithmetic number, because the mean of its divisors is an integer number (521250).

Almost surely, 214441672 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 14441672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16680000).

14441672 is an abundant number, since it is smaller than the sum of its proper divisors (18918328).

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

14441672 is a wasteful number, since it uses less digits than its factorization.

14441672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 305 counting only the distinct ones).

The product of its digits is 5376, while the sum is 29.

The square root of 14441672 is about 3800.2199936319. The cubic root of 14441672 is about 243.5225366945.

The spelling of 14441672 in words is "fourteen million, four hundred forty-one thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 19 28 38 49 56 76 98 133 152 196 266 277 343 392 532 554 686 931 1064 1108 1372 1862 1939 2216 2744 3724 3878 5263 6517 7448 7756 10526 13034 13573 15512 21052 26068 27146 36841 42104 52136 54292 73682 95011 108584 147364 190022 257887 294728 380044 515774 760088 1031548 1805209 2063096 3610418 7220836 14441672