Search a number
-
+
18212832 = 2532115749
BaseRepresentation
bin100010101111…
…0011111100000
31021021022022100
41011132133200
514130302312
61450210400
7310543431
oct105363740
937238270
1018212832
11a30a630
126123a00
133a08b31
1425c1488
1518eb5dc
hex115e7e0

18212832 has 72 divisors (see below), whose sum is σ = 56511000. Its totient is φ = 5518080.

The previous prime is 18212827. The next prime is 18212833. The reversal of 18212832 is 23821281.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 18212796 and 18212805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18212833) 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 11 ways as a sum of consecutive naturals, for example, 294 + ... + 6042.

It is an arithmetic number, because the mean of its divisors is an integer number (784875).

Almost surely, 218212832 is an apocalyptic number.

18212832 is a gapful number since it is divisible by the number (12) 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 18212832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28255500).

18212832 is an abundant number, since it is smaller than the sum of its proper divisors (38298168).

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

18212832 is a wasteful number, since it uses less digits than its factorization.

18212832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5776 (or 5765 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 18212832 is about 4267.6494701416. The cubic root of 18212832 is about 263.1030164078.

It can be divided in two parts, 18212 and 832, that added together give a square (19044 = 1382).

The spelling of 18212832 in words is "eighteen million, two hundred twelve thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 5749 11498 17247 22996 34494 45992 51741 63239 68988 91984 103482 126478 137976 183968 189717 206964 252956 275952 379434 413928 505912 551904 569151 758868 827856 1011824 1138302 1517736 1655712 2023648 2276604 3035472 4553208 6070944 9106416 18212832