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18051444 = 2233192463
BaseRepresentation
bin100010011011…
…1000101110100
31020222002221000
41010313011310
514110121234
61442523300
7306302055
oct104670564
936862830
1018051444
11a20a354
126066530
133980538
14257c72c
1518b8899
hex1137174

18051444 has 72 divisors (see below), whose sum is σ = 49499520. Its totient is φ = 5688144.

The previous prime is 18051413. The next prime is 18051457. The reversal of 18051444 is 44415081.

It is a happy number.

It is a super-5 number, since 5×180514445 (a number of 37 digits) contains 55555 as substring.

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

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, 38757 + ... + 39219.

Almost surely, 218051444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18051444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24749760).

18051444 is an abundant number, since it is smaller than the sum of its proper divisors (31448076).

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

18051444 is a wasteful number, since it uses less digits than its factorization.

18051444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 18051444 is about 4248.6990950172. The cubic root of 18051444 is about 262.3235712430.

It can be divided in two parts, 1805 and 1444, that added together give a square (3249 = 572).

The spelling of 18051444 in words is "eighteen million, fifty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 342 361 463 513 684 722 926 1026 1083 1389 1444 1852 2052 2166 2778 3249 4167 4332 5556 6498 8334 8797 9747 12501 12996 16668 17594 19494 25002 26391 35188 38988 50004 52782 79173 105564 158346 167143 237519 316692 334286 475038 501429 668572 950076 1002858 1504287 2005716 3008574 4512861 6017148 9025722 18051444