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18052848 = 24331129131
BaseRepresentation
bin100010011011…
…1011011110000
31020222011212000
41010313123300
514110142343
61442534000
7306306132
oct104673360
936864760
1018052848
11a210410
126067300
133981078
14257d052
1518b8ed3
hex11376f0

18052848 has 160 divisors (see below), whose sum is σ = 58924800. Its totient is φ = 5241600.

The previous prime is 18052829. The next prime is 18052873. The reversal of 18052848 is 84825081.

It is a super-2 number, since 2×180528482 = 651810641822208, which contains 22 as substring.

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

It is a congruent number.

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, 137743 + ... + 137873.

It is an arithmetic number, because the mean of its divisors is an integer number (368280).

Almost surely, 218052848 is an apocalyptic number.

18052848 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 18052848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29462400).

18052848 is an abundant number, since it is smaller than the sum of its proper divisors (40871952).

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

18052848 is a wasteful number, since it uses less digits than its factorization.

18052848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 18052848 is about 4248.8643188504. The cubic root of 18052848 is about 262.3303720424.

The spelling of 18052848 in words is "eighteen million, fifty-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 29 33 36 44 48 54 58 66 72 87 88 99 108 116 131 132 144 174 176 198 216 232 261 262 264 297 319 348 393 396 432 464 522 524 528 594 638 696 783 786 792 957 1044 1048 1179 1188 1276 1392 1441 1566 1572 1584 1914 2088 2096 2358 2376 2552 2871 2882 3132 3144 3537 3799 3828 4176 4323 4716 4752 5104 5742 5764 6264 6288 7074 7598 7656 8613 8646 9432 11397 11484 11528 12528 12969 14148 15196 15312 17226 17292 18864 22794 22968 23056 25938 28296 30392 34191 34452 34584 38907 41789 45588 45936 51876 56592 60784 68382 68904 69168 77814 83578 91176 102573 103752 125367 136764 137808 155628 167156 182352 205146 207504 250734 273528 311256 334312 376101 410292 501468 547056 622512 668624 752202 820584 1002936 1128303 1504404 1641168 2005872 2256606 3008808 4513212 6017616 9026424 18052848