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14816424 = 2337243293
BaseRepresentation
bin111000100001…
…010010101000
31000212202022110
4320201102220
512243111144
61245322320
7236636400
oct70412250
930782273
1014816424
1183aa887
124b663a0
1330b9c1c
141d79800
15147a0b9
hexe214a8

14816424 has 96 divisors (see below), whose sum is σ = 44241120. Its totient is φ = 4120704.

The previous prime is 14816423. The next prime is 14816429. The reversal of 14816424 is 42461841.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 14816391 and 14816400.

It is not an unprimeable number, because it can be changed into a prime (14816423) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50422 + ... + 50714.

It is an arithmetic number, because the mean of its divisors is an integer number (460845).

Almost surely, 214816424 is an apocalyptic number.

14816424 is a gapful number since it is divisible by the number (14) 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 14816424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22120560).

14816424 is an abundant number, since it is smaller than the sum of its proper divisors (29424696).

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

14816424 is a wasteful number, since it uses less digits than its factorization.

14816424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 348 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 14816424 is about 3849.2108282088. The cubic root of 14816424 is about 245.6109920208.

The spelling of 14816424 in words is "fourteen million, eight hundred sixteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 43 49 56 84 86 98 129 147 168 172 196 258 293 294 301 344 392 516 586 588 602 879 903 1032 1172 1176 1204 1758 1806 2051 2107 2344 2408 3516 3612 4102 4214 6153 6321 7032 7224 8204 8428 12306 12599 12642 14357 16408 16856 24612 25198 25284 28714 37797 43071 49224 50396 50568 57428 75594 86142 88193 100792 114856 151188 172284 176386 264579 302376 344568 352772 529158 617351 705544 1058316 1234702 1852053 2116632 2469404 3704106 4938808 7408212 14816424