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18053072 = 245361349
BaseRepresentation
bin100010011011…
…1011111010000
31020222012011022
41010313133100
514110144242
61442535012
7306306602
oct104673720
936865138
1018053072
11a2105a4
126067468
1339811bb
14257d172
1518b90d2
hex11377d0

18053072 has 40 divisors (see below), whose sum is σ = 36325800. Its totient is φ = 8686080.

The previous prime is 18053053. The next prime is 18053089. The reversal of 18053072 is 27035081.

It can be written as a sum of positive squares in 4 ways, for example, as 1860496 + 16192576 = 1364^2 + 4024^2 .

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 7 ways as a sum of consecutive naturals, for example, 51554 + ... + 51902.

It is an arithmetic number, because the mean of its divisors is an integer number (908145).

Almost surely, 218053072 is an apocalyptic number.

It is an amenable number.

18053072 is an abundant number, since it is smaller than the sum of its proper divisors (18272728).

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

18053072 is a wasteful number, since it uses less digits than its factorization.

18053072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 18053072 is about 4248.8906787537. The cubic root of 18053072 is about 262.3314570376.

Subtracting 18053072 from its reverse (27035081), we obtain a square (8982009 = 29972).

The spelling of 18053072 in words is "eighteen million, fifty-three thousand, seventy-two".

Divisors: 1 2 4 8 16 53 61 106 122 212 244 349 424 488 698 848 976 1396 2792 3233 5584 6466 12932 18497 21289 25864 36994 42578 51728 73988 85156 147976 170312 295952 340624 1128317 2256634 4513268 9026536 18053072