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18410418 = 23213292713
BaseRepresentation
bin100011000111…
…0101110110010
31021122100100100
41012032232302
514203113133
61454333230
7312325455
oct106165662
937570310
1018410418
11a435024
1261ba216
133a77a50
14263349c
151939e13
hex118ebb2

18410418 has 48 divisors (see below), whose sum is σ = 44455320. Its totient is φ = 5467392.

The previous prime is 18410393. The next prime is 18410429. The reversal of 18410418 is 81401481.

It can be written as a sum of positive squares in 4 ways, for example, as 17363889 + 1046529 = 4167^2 + 1023^2 .

It is a junction number, because it is equal to n+sod(n) for n = 18410391 and 18410400.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 5430 + ... + 8142.

Almost surely, 218410418 is an apocalyptic number.

18410418 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 18410418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22227660).

18410418 is an abundant number, since it is smaller than the sum of its proper divisors (26044902).

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

18410418 is a wasteful number, since it uses less digits than its factorization.

18410418 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2763 (or 2760 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 18410418 is about 4290.7363004501. The cubic root of 18410418 is about 264.0510404070.

Adding to 18410418 its reverse (81401481), we get a palindrome (99811899).

It can be divided in two parts, 18 and 410418, that multiplied together give a square (7387524 = 27182).

The spelling of 18410418 in words is "eighteen million, four hundred ten thousand, four hundred eighteen".

Divisors: 1 2 3 6 9 13 18 26 29 39 58 78 87 117 174 234 261 377 522 754 1131 2262 2713 3393 5426 6786 8139 16278 24417 35269 48834 70538 78677 105807 157354 211614 236031 317421 472062 634842 708093 1022801 1416186 2045602 3068403 6136806 9205209 18410418