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18141288 = 2331126247
BaseRepresentation
bin100010100110…
…1000001101000
31021010200011120
41011031001220
514121010123
61444455240
7310125024
oct105150150
937120146
1018141288
11a270900
1260aa520
1339b23b9
1425a3384
1518d52e3
hex114d068

18141288 has 48 divisors (see below), whose sum is σ = 49859040. Its totient is φ = 5496480.

The previous prime is 18141283. The next prime is 18141349. The reversal of 18141288 is 88214181.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (18141283) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 220 + ... + 6027.

It is an arithmetic number, because the mean of its divisors is an integer number (1038730).

Almost surely, 218141288 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 18141288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24929520).

18141288 is an abundant number, since it is smaller than the sum of its proper divisors (31717752).

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

18141288 is a wasteful number, since it uses less digits than its factorization.

18141288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6278 (or 6263 counting only the distinct ones).

The product of its digits is 4096, while the sum is 33.

The square root of 18141288 is about 4259.2590904992. The cubic root of 18141288 is about 262.7580555276.

The spelling of 18141288 in words is "eighteen million, one hundred forty-one thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 363 484 726 968 1452 2904 6247 12494 18741 24988 37482 49976 68717 74964 137434 149928 206151 274868 412302 549736 755887 824604 1511774 1649208 2267661 3023548 4535322 6047096 9070644 18141288