Search a number
-
+
18442432 = 261272269
BaseRepresentation
bin100011001011…
…0100011000000
31021200222021001
41012112203000
514210124212
61455141344
7312521011
oct106264300
937628231
1018442432
11a457088
126214854
133a894a8
142641008
151944657
hex11968c0

18442432 has 28 divisors (see below), whose sum is σ = 36901120. Its totient is φ = 9144576.

The previous prime is 18442421. The next prime is 18442441. The reversal of 18442432 is 23424481.

It is a happy number.

18442432 is an admirable number.

It is a self number, because there is not a number n which added to its sum of digits gives 18442432.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6994 + ... + 9262.

Almost surely, 218442432 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 18442432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18450560).

18442432 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

18442432 is a wasteful number, since it uses less digits than its factorization.

18442432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2408 (or 2398 counting only the distinct ones).

The product of its digits is 6144, while the sum is 28.

The square root of 18442432 is about 4294.4652752118. The cubic root of 18442432 is about 264.2040051556.

The spelling of 18442432 in words is "eighteen million, four hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 127 254 508 1016 2032 2269 4064 4538 8128 9076 18152 36304 72608 145216 288163 576326 1152652 2305304 4610608 9221216 18442432