Search a number
-
+
18666648 = 233272111337
BaseRepresentation
bin100011100110…
…1010010011000
31022010100211100
41013031102120
514234313043
61504031400
7314443500
oct107152230
938110740
1018666648
11a59a590
126302560
133b37570
14269ca00
15198acd3
hex11cd498

18666648 has 288 divisors, whose sum is σ = 70958160. Its totient is φ = 4354560.

The previous prime is 18666647. The next prime is 18666667. The reversal of 18666648 is 84666681.

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 (18666647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 504486 + ... + 504522.

Almost surely, 218666648 is an apocalyptic number.

18666648 is a gapful number since it is divisible by the number (18) 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 18666648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35479080).

18666648 is an abundant number, since it is smaller than the sum of its proper divisors (52291512).

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

18666648 is a wasteful number, since it uses less digits than its factorization.

18666648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 73 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 18666648 is about 4320.4916386911. The cubic root of 18666648 is about 265.2703921029.

It can be divided in two parts, 18 and 666648, that added together give a palindrome (666666).

The spelling of 18666648 in words is "eighteen million, six hundred sixty-six thousand, six hundred forty-eight".