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18053532 = 22327312311
BaseRepresentation
bin100010011011…
…1100110011100
31020222012210100
41010313212130
514110203112
61442541100
7306311130
oct104674634
936865710
1018053532
11a210982
126067790
133981483
14257d3c0
1518b92dc
hex113799c

18053532 has 72 divisors (see below), whose sum is σ = 53860352. Its totient is φ = 4989600.

The previous prime is 18053513. The next prime is 18053533. The reversal of 18053532 is 23535081.

18053532 is a `hidden beast` number, since 1 + 80 + 53 + 532 = 666.

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 18053496 and 18053505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18053533) 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 23 ways as a sum of consecutive naturals, for example, 6657 + ... + 8967.

Almost surely, 218053532 is an apocalyptic number.

18053532 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 18053532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26930176).

18053532 is an abundant number, since it is smaller than the sum of its proper divisors (35806820).

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

18053532 is a wasteful number, since it uses less digits than its factorization.

18053532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2359 (or 2354 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 18053532 is about 4248.9448101852. The cubic root of 18053532 is about 262.3336851246. Note that the first 3 decimals are identical.

The spelling of 18053532 in words is "eighteen million, fifty-three thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 62 63 84 93 124 126 186 217 252 279 372 434 558 651 868 1116 1302 1953 2311 2604 3906 4622 6933 7812 9244 13866 16177 20799 27732 32354 41598 48531 64708 71641 83196 97062 143282 145593 194124 214923 286564 291186 429846 501487 582372 644769 859692 1002974 1289538 1504461 2005948 2579076 3008922 4513383 6017844 9026766 18053532