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14292828 = 22331153227
BaseRepresentation
bin110110100001…
…011101011100
3222220011002000
4312201131130
512124332303
61230202300
7232326024
oct66413534
928804060
1014292828
118082460
124953390
132c657c4
141c80a84
1513c4da3
hexda175c

14292828 has 96 divisors (see below), whose sum is σ = 41368320. Its totient is φ = 4230720.

The previous prime is 14292827. The next prime is 14292847. The reversal of 14292828 is 82829241.

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 = 14292792 and 14292801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14292823) 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 31 ways as a sum of consecutive naturals, for example, 62851 + ... + 63077.

It is an arithmetic number, because the mean of its divisors is an integer number (430920).

Almost surely, 214292828 is an apocalyptic number.

14292828 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 14292828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20684160).

14292828 is an abundant number, since it is smaller than the sum of its proper divisors (27075492).

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

14292828 is a wasteful number, since it uses less digits than its factorization.

14292828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 296 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 14292828 is about 3780.5856689143. The cubic root of 14292828 is about 242.6830190982.

The spelling of 14292828 in words is "fourteen million, two hundred ninety-two thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 53 54 66 99 106 108 132 159 198 212 227 297 318 396 454 477 583 594 636 681 908 954 1166 1188 1362 1431 1749 1908 2043 2332 2497 2724 2862 3498 4086 4994 5247 5724 6129 6996 7491 8172 9988 10494 12031 12258 14982 15741 20988 22473 24062 24516 29964 31482 36093 44946 48124 62964 67419 72186 89892 108279 132341 134838 144372 216558 264682 269676 324837 397023 433116 529364 649674 794046 1191069 1299348 1588092 2382138 3573207 4764276 7146414 14292828