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14828814 = 23271113823
BaseRepresentation
bin111000100100…
…010100001110
31000220101022100
4320210110032
512244010224
61245455530
7240020460
oct70442416
930811270
1014828814
118409120
124b715a6
1330c2760
141d80130
15147dac9
hexe2450e

14828814 has 96 divisors (see below), whose sum is σ = 43190784. Its totient is φ = 3551040.

The previous prime is 14828771. The next prime is 14828837. The reversal of 14828814 is 41882841.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17607 + ... + 18429.

It is an arithmetic number, because the mean of its divisors is an integer number (449904).

Almost surely, 214828814 is an apocalyptic number.

14828814 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14828814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21595392).

14828814 is an abundant number, since it is smaller than the sum of its proper divisors (28361970).

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

14828814 is a wasteful number, since it uses less digits than its factorization.

14828814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 859 counting only the distinct ones).

The product of its digits is 16384, while the sum is 36.

The square root of 14828814 is about 3850.8199126939. The cubic root of 14828814 is about 245.6794357139.

It can be divided in two parts, 1482 and 8814, that added together give a triangular number (10296 = T143).

The spelling of 14828814 in words is "fourteen million, eight hundred twenty-eight thousand, eight hundred fourteen".

Divisors: 1 2 3 6 7 9 11 13 14 18 21 22 26 33 39 42 63 66 77 78 91 99 117 126 143 154 182 198 231 234 273 286 429 462 546 693 819 823 858 1001 1287 1386 1638 1646 2002 2469 2574 3003 4938 5761 6006 7407 9009 9053 10699 11522 14814 17283 18018 18106 21398 27159 32097 34566 51849 54318 63371 64194 74893 81477 96291 103698 117689 126742 149786 162954 190113 192582 224679 235378 353067 380226 449358 570339 674037 706134 823823 1059201 1140678 1348074 1647646 2118402 2471469 4942938 7414407 14828814