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14247828 = 22327241197
BaseRepresentation
bin110110010110…
…011110010100
3222210212100100
4312112132110
512121412303
61225214100
7232050600
oct66263624
928725310
1014247828
118051671
124931330
132c4b18a
141c6c500
1513b68a3
hexd96794

14247828 has 108 divisors (see below), whose sum is σ = 43135092. Its totient is φ = 3951360.

The previous prime is 14247811. The next prime is 14247829. The reversal of 14247828 is 82874241.

It can be written as a sum of positive squares in 2 ways, for example, as 7683984 + 6563844 = 2772^2 + 2562^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14247792 and 14247801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14247829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 72226 + ... + 72422.

It is an arithmetic number, because the mean of its divisors is an integer number (399399).

Almost surely, 214247828 is an apocalyptic number.

14247828 is a gapful number since it is divisible by the number (18) 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 14247828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21567546).

14247828 is an abundant number, since it is smaller than the sum of its proper divisors (28887264).

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

14247828 is a wasteful number, since it uses less digits than its factorization.

14247828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 250 counting only the distinct ones).

The product of its digits is 28672, while the sum is 36.

The square root of 14247828 is about 3774.6295182441. The cubic root of 14247828 is about 242.4280609935.

The spelling of 14247828 in words is "fourteen million, two hundred forty-seven thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 41 42 49 63 82 84 98 123 126 147 164 196 197 246 252 287 294 369 394 441 492 574 588 591 738 788 861 882 1148 1182 1379 1476 1722 1764 1773 2009 2364 2583 2758 3444 3546 4018 4137 5166 5516 6027 7092 8036 8077 8274 9653 10332 12054 12411 16154 16548 18081 19306 24108 24231 24822 28959 32308 36162 38612 48462 49644 56539 57918 72324 72693 86877 96924 113078 115836 145386 169617 173754 226156 290772 339234 347508 395773 508851 678468 791546 1017702 1187319 1583092 2035404 2374638 3561957 4749276 7123914 14247828