[go: up one dir, main page]

Search a number
-
+
18485248 = 2124513
BaseRepresentation
bin100011010000…
…1000000000000
31021210010222211
41012201000000
514213011443
61500111504
7313056565
oct106410000
937703884
1018485248
11a486271
126235594
133aa2b22
14265286c
15195219d
hex11a1000

18485248 has 26 divisors (see below), whose sum is σ = 36974174. Its totient is φ = 9240576.

The previous prime is 18485191. The next prime is 18485249. The reversal of 18485248 is 84258481.

It can be written as a sum of positive squares in only one way, i.e., 9437184 + 9048064 = 3072^2 + 3008^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 18485248.

It is not an unprimeable number, because it can be changed into a prime (18485249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1840 + ... + 6352.

Almost surely, 218485248 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 18485248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18487087).

18485248 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.

18485248 is an frugal number, since it uses more digits than its factorization.

18485248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4537 (or 4515 counting only the distinct ones).

The product of its digits is 81920, while the sum is 40.

The square root of 18485248 is about 4299.4474063535. The cubic root of 18485248 is about 264.4083060462.

It can be divided in two parts, 184852 and 48, that added together give a square (184900 = 4302).

The spelling of 18485248 in words is "eighteen million, four hundred eighty-five thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 4513 9026 18052 36104 72208 144416 288832 577664 1155328 2310656 4621312 9242624 18485248