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14984838 = 235112803
BaseRepresentation
bin111001001010…
…011010000110
31001012022100000
4321022122012
512314003323
61253102130
7241240401
oct71123206
931168300
1014984838
118505370
125027946
13314878b
141dc0d38
1514aee43
hexe4a686

14984838 has 48 divisors (see below), whose sum is σ = 36743616. Its totient is φ = 4539240.

The previous prime is 14984821. The next prime is 14984843. The reversal of 14984838 is 83848941.

It is a junction number, because it is equal to n+sod(n) for n = 14984793 and 14984802.

It is a congruent number.

It is an unprimeable number.

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, 3945 + ... + 6747.

It is an arithmetic number, because the mean of its divisors is an integer number (765492).

Almost surely, 214984838 is an apocalyptic number.

14984838 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14984838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18371808).

14984838 is an abundant number, since it is smaller than the sum of its proper divisors (21758778).

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

14984838 is a wasteful number, since it uses less digits than its factorization.

14984838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2831 (or 2819 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 14984838 is about 3871.0254455377. The cubic root of 14984838 is about 246.5380845144.

It can be divided in two parts, 1498 and 4838, that added together give a palindrome (6336).

The spelling of 14984838 in words is "fourteen million, nine hundred eighty-four thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 243 297 486 594 891 1782 2673 2803 5346 5606 8409 16818 25227 30833 50454 61666 75681 92499 151362 184998 227043 277497 454086 554994 681129 832491 1362258 1664982 2497473 4994946 7492419 14984838