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18049248 = 2532721279
BaseRepresentation
bin100010011011…
…0100011100000
31020221222220200
41010312203200
514110033443
61442505200
7306262500
oct104664340
936858820
1018049248
11a208738
126065200
13397c539
14257ba00
1518b7dd3
hex11368e0

18049248 has 108 divisors (see below), whose sum is σ = 59754240. Its totient is φ = 5152896.

The previous prime is 18049247. The next prime is 18049261. The reversal of 18049248 is 84294081.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18049247) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13473 + ... + 14751.

It is an arithmetic number, because the mean of its divisors is an integer number (553280).

Almost surely, 218049248 is an apocalyptic number.

18049248 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 18049248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29877120).

18049248 is an abundant number, since it is smaller than the sum of its proper divisors (41704992).

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

18049248 is a wasteful number, since it uses less digits than its factorization.

18049248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1309 (or 1291 counting only the distinct ones).

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

The square root of 18049248 is about 4248.4406551110. The cubic root of 18049248 is about 262.3129333882.

The spelling of 18049248 in words is "eighteen million, forty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 72 84 96 98 112 126 144 147 168 196 224 252 288 294 336 392 441 504 588 672 784 882 1008 1176 1279 1568 1764 2016 2352 2558 3528 3837 4704 5116 7056 7674 8953 10232 11511 14112 15348 17906 20464 23022 26859 30696 35812 40928 46044 53718 61392 62671 71624 80577 92088 107436 122784 125342 143248 161154 184176 188013 214872 250684 286496 322308 368352 376026 429744 501368 564039 644616 752052 859488 1002736 1128078 1289232 1504104 2005472 2256156 2578464 3008208 4512312 6016416 9024624 18049248