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18053442 = 235112307
BaseRepresentation
bin100010011011…
…1100101000010
31020222012200000
41010313211002
514110202232
61442540430
7306310641
oct104674502
936865600
1018053442
11a210900
126067716
133981414
14257d358
1518b927c
hex1137942

18053442 has 72 divisors (see below), whose sum is σ = 44732688. Its totient is φ = 5452920.

The previous prime is 18053429. The next prime is 18053461. The reversal of 18053442 is 24435081.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 58653 + ... + 58959.

Almost surely, 218053442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18053442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22366344).

18053442 is an abundant number, since it is smaller than the sum of its proper divisors (26679246).

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

18053442 is a wasteful number, since it uses less digits than its factorization.

18053442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 18053442 is about 4248.9342193072. The cubic root of 18053442 is about 262.3332491975. Note that the first 3 decimals are identical.

The spelling of 18053442 in words is "eighteen million, fifty-three thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 121 162 198 242 243 297 307 363 486 594 614 726 891 921 1089 1782 1842 2178 2673 2763 3267 3377 5346 5526 6534 6754 8289 9801 10131 16578 19602 20262 24867 29403 30393 37147 49734 58806 60786 74294 74601 91179 111441 149202 182358 222882 273537 334323 547074 668646 820611 1002969 1641222 2005938 3008907 6017814 9026721 18053442