Search a number
-
+
18052416 = 263331337
BaseRepresentation
bin100010011011…
…1010101000000
31020222011021000
41010313111000
514110134131
61442532000
7306304644
oct104672500
936864230
1018052416
11a210058
126067000
133980b05
14257cc24
1518b8ce6
hex1137540

18052416 has 112 divisors (see below), whose sum is σ = 54945280. Its totient is φ = 5806080.

The previous prime is 18052403. The next prime is 18052421. The reversal of 18052416 is 61425081.

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

It is a self number, because there is not a number n which added to its sum of digits gives 18052416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53400 + ... + 53736.

Almost surely, 218052416 is an apocalyptic number.

18052416 is a gapful number since it is divisible by the number (16) 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 18052416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27472640).

18052416 is an abundant number, since it is smaller than the sum of its proper divisors (36892864).

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

18052416 is a wasteful number, since it uses less digits than its factorization.

18052416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 18052416 is about 4248.8134814322. The cubic root of 18052416 is about 262.3282795263.

Adding to 18052416 its reverse (61425081), we get a palindrome (79477497).

The spelling of 18052416 in words is "eighteen million, fifty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 93 96 108 124 144 186 192 216 248 279 288 337 372 432 496 558 576 674 744 837 864 992 1011 1116 1348 1488 1674 1728 1984 2022 2232 2696 2976 3033 3348 4044 4464 5392 5952 6066 6696 8088 8928 9099 10447 10784 12132 13392 16176 17856 18198 20894 21568 24264 26784 31341 32352 36396 41788 48528 53568 62682 64704 72792 83576 94023 97056 125364 145584 167152 188046 194112 250728 282069 291168 334304 376092 501456 564138 582336 668608 752184 1002912 1128276 1504368 2005824 2256552 3008736 4513104 6017472 9026208 18052416