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18118152 = 23321321489
BaseRepresentation
bin100010100011…
…1011000001000
31021002111102200
41011013120020
514114240102
61444200200
7310000413
oct105073010
937074380
1018118152
11a255488
126099060
1339a4a00
142598b7a
1518cd51c
hex1147608

18118152 has 72 divisors (see below), whose sum is σ = 53170650. Its totient is φ = 5571072.

The previous prime is 18118151. The next prime is 18118157. The reversal of 18118152 is 25181181.

It can be written as a sum of positive squares in 3 ways, for example, as 6380676 + 11737476 = 2526^2 + 3426^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (18118151) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11424 + ... + 12912.

Almost surely, 218118152 is an apocalyptic number.

18118152 is a gapful number since it is divisible by the number (12) 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 18118152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26585325).

18118152 is an abundant number, since it is smaller than the sum of its proper divisors (35052498).

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

18118152 is a wasteful number, since it uses less digits than its factorization.

18118152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1527 (or 1507 counting only the distinct ones).

The product of its digits is 640, while the sum is 27.

The square root of 18118152 is about 4256.5422586884. The cubic root of 18118152 is about 262.6463075542.

The spelling of 18118152 in words is "eighteen million, one hundred eighteen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 169 234 312 338 468 507 676 936 1014 1352 1489 1521 2028 2978 3042 4056 4467 5956 6084 8934 11912 12168 13401 17868 19357 26802 35736 38714 53604 58071 77428 107208 116142 154856 174213 232284 251641 348426 464568 503282 696852 754923 1006564 1393704 1509846 2013128 2264769 3019692 4529538 6039384 9059076 18118152