Search a number
-
+
18284448 = 2537213223
BaseRepresentation
bin100010110111…
…1111110100000
31021101221112210
41011233332200
514140100243
61451522120
7311262300
oct105577640
937357483
1018284448
11a359416
126159340
133a32600
1425dd600
151912933
hex116ffa0

18284448 has 216 divisors, whose sum is σ = 63086688. Its totient is φ = 4612608.

The previous prime is 18284443. The next prime is 18284449. The reversal of 18284448 is 84448281.

It is a Harshad number since it is a multiple of its sum of digits (39).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18284443) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 794965 + ... + 794987.

It is an arithmetic number, because the mean of its divisors is an integer number (292068).

Almost surely, 218284448 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 18284448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31543344).

18284448 is an abundant number, since it is smaller than the sum of its proper divisors (44802240).

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

18284448 is a wasteful number, since it uses less digits than its factorization.

18284448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 48 counting only the distinct ones).

The product of its digits is 65536, while the sum is 39.

The square root of 18284448 is about 4276.0318053073. The cubic root of 18284448 is about 263.4474208779.

The spelling of 18284448 in words is "eighteen million, two hundred eighty-four thousand, four hundred forty-eight".