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18444132 = 2233731787
BaseRepresentation
bin100011001011…
…0111101100100
31021201001121000
41012112331210
514210203012
61455153300
7312525660
oct106267544
937631530
1018444132
11a458393
126215830
133a8a1b5
1426418a0
151944ddc
hex1196f64

18444132 has 96 divisors (see below), whose sum is σ = 56483840. Its totient is φ = 5093280.

The previous prime is 18444121. The next prime is 18444157. The reversal of 18444132 is 23144481.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 18444096 and 18444105.

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 31 ways as a sum of consecutive naturals, for example, 23043 + ... + 23829.

Almost surely, 218444132 is an apocalyptic number.

18444132 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 18444132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28241920).

18444132 is an abundant number, since it is smaller than the sum of its proper divisors (38039708).

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

18444132 is a wasteful number, since it uses less digits than its factorization.

18444132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838 (or 830 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 18444132 is about 4294.6631998330. The cubic root of 18444132 is about 264.2121229029.

The spelling of 18444132 in words is "eighteen million, four hundred forty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 31 36 42 54 62 63 84 93 108 124 126 186 189 217 252 279 372 378 434 558 651 756 787 837 868 1116 1302 1574 1674 1953 2361 2604 3148 3348 3906 4722 5509 5859 7083 7812 9444 11018 11718 14166 16527 21249 22036 23436 24397 28332 33054 42498 48794 49581 66108 73191 84996 97588 99162 146382 148743 170779 198324 219573 292764 297486 341558 439146 512337 594972 658719 683116 878292 1024674 1317438 1537011 2049348 2634876 3074022 4611033 6148044 9222066 18444132