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14283808 = 2571121731
BaseRepresentation
bin110110011111…
…010000100000
3222212200200221
4312133100200
512124040213
61230052424
7232260520
oct66372040
928780627
1014283808
118076700
12494a114
132c61676
141c7b680
1513c238d
hexd9f420

14283808 has 144 divisors (see below), whose sum is σ = 38610432. Its totient is φ = 5068800.

The previous prime is 14283799. The next prime is 14283809. The reversal of 14283808 is 80838241.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (14283809) 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 23 ways as a sum of consecutive naturals, for example, 460753 + ... + 460783.

It is an arithmetic number, because the mean of its divisors is an integer number (268128).

Almost surely, 214283808 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 14283808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19305216).

14283808 is an abundant number, since it is smaller than the sum of its proper divisors (24326624).

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

14283808 is a wasteful number, since it uses less digits than its factorization.

14283808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 14283808 is about 3779.3925437827. The cubic root of 14283808 is about 242.6319570906.

The spelling of 14283808 in words is "fourteen million, two hundred eighty-three thousand, eight hundred eight".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 31 32 34 44 56 62 68 77 88 112 119 121 124 136 154 176 187 217 224 238 242 248 272 308 341 352 374 434 476 484 496 527 544 616 682 748 847 868 952 968 992 1054 1232 1309 1364 1496 1694 1736 1904 1936 2057 2108 2387 2464 2618 2728 2992 3388 3472 3689 3751 3808 3872 4114 4216 4774 5236 5456 5797 5984 6776 6944 7378 7502 8228 8432 9548 10472 10912 11594 13552 14399 14756 15004 16456 16864 19096 20944 23188 26257 27104 28798 29512 30008 32912 38192 40579 41888 46376 52514 57596 59024 60016 63767 65824 76384 81158 92752 105028 115192 118048 120032 127534 162316 185504 210056 230384 255068 324632 420112 446369 460768 510136 649264 840224 892738 1020272 1298528 1785476 2040544 3570952 7141904 14283808