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18048096 = 253511211
BaseRepresentation
bin100010011011…
…0010001100000
31020221221100000
41010312101200
514110014341
61442500000
7306256233
oct104662140
936857300
1018048096
11a207890
126064600
13397bb61
14257b41a
1518b78b6
hex1136460

18048096 has 144 divisors (see below), whose sum is σ = 58339008. Its totient is φ = 5443200.

The previous prime is 18048083. The next prime is 18048113. The reversal of 18048096 is 69084081.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 18048096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85431 + ... + 85641.

It is an arithmetic number, because the mean of its divisors is an integer number (405132).

Almost surely, 218048096 is an apocalyptic number.

18048096 is a gapful number since it is divisible by the number (16) 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 18048096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29169504).

18048096 is an abundant number, since it is smaller than the sum of its proper divisors (40290912).

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

18048096 is a wasteful number, since it uses less digits than its factorization.

18048096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 18048096 is about 4248.3050737912. The cubic root of 18048096 is about 262.3073525291.

The spelling of 18048096 in words is "eighteen million, forty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 81 88 96 99 108 132 144 162 176 198 211 216 243 264 288 297 324 352 396 422 432 486 528 594 633 648 792 844 864 891 972 1056 1188 1266 1296 1584 1688 1782 1899 1944 2321 2376 2532 2592 2673 3168 3376 3564 3798 3888 4642 4752 5064 5346 5697 6752 6963 7128 7596 7776 9284 9504 10128 10692 11394 13926 14256 15192 17091 18568 20256 20889 21384 22788 27852 28512 30384 34182 37136 41778 42768 45576 51273 55704 60768 62667 68364 74272 83556 85536 91152 102546 111408 125334 136728 167112 182304 188001 205092 222816 250668 273456 334224 376002 410184 501336 546912 564003 668448 752004 820368 1002672 1128006 1504008 1640736 2005344 2256012 3008016 4512024 6016032 9024048 18048096