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14459928 = 2337176183
BaseRepresentation
bin110111001010…
…010000011000
31000012122021220
4313022100120
512200204203
61233532040
7233623140
oct67122030
930178256
1014459928
118186a5a
124a14020
132cc3892
141cc5920
151409653
hexdca418

14459928 has 128 divisors (see below), whose sum is σ = 44997120. Its totient is φ = 3778560.

The previous prime is 14459917. The next prime is 14459941. The reversal of 14459928 is 82995441.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 14459928.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174175 + ... + 174257.

It is an arithmetic number, because the mean of its divisors is an integer number (351540).

Almost surely, 214459928 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 14459928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22498560).

14459928 is an abundant number, since it is smaller than the sum of its proper divisors (30537192).

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

14459928 is a wasteful number, since it uses less digits than its factorization.

14459928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 173 counting only the distinct ones).

The product of its digits is 103680, while the sum is 42.

The square root of 14459928 is about 3802.6212012242. The cubic root of 14459928 is about 243.6251073531.

The spelling of 14459928 in words is "fourteen million, four hundred fifty-nine thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 61 68 83 84 102 119 122 136 166 168 183 204 238 244 249 332 357 366 408 427 476 488 498 581 664 714 732 854 952 996 1037 1162 1281 1411 1428 1464 1708 1743 1992 2074 2324 2562 2822 2856 3111 3416 3486 4148 4233 4648 5063 5124 5644 6222 6972 7259 8296 8466 9877 10126 10248 11288 12444 13944 14518 15189 16932 19754 20252 21777 24888 29036 29631 30378 33864 35441 39508 40504 43554 58072 59262 60756 70882 79016 86071 87108 106323 118524 121512 141764 172142 174216 212646 237048 258213 283528 344284 425292 516426 602497 688568 850584 1032852 1204994 1807491 2065704 2409988 3614982 4819976 7229964 14459928