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48618 = 2323773
BaseRepresentation
bin1011110111101010
32110200200
423313222
53023433
61013030
7261513
oct136752
973620
1048618
1133589
1224176
131918b
1413a0a
15e613
hexbdea

48618 has 24 divisors (see below), whose sum is σ = 109668. Its totient is φ = 15552.

The previous prime is 48611. The next prime is 48619. The reversal of 48618 is 81684.

48618 is a `hidden beast` number, since 48 + 618 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 45369 + 3249 = 213^2 + 57^2 .

It is a plaindrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 48591 and 48600.

It is not an unprimeable number, because it can be changed into a prime (48611) 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 11 ways as a sum of consecutive naturals, for example, 630 + ... + 702.

248618 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48618, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54834).

48618 is an abundant number, since it is smaller than the sum of its proper divisors (61050).

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

48618 is a wasteful number, since it uses less digits than its factorization.

48618 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 115 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 48618 is about 220.4948979002. The cubic root of 48618 is about 36.4977167522.

It can be divided in two parts, 48 and 618, that added together give a palindrome (666).

The spelling of 48618 in words is "forty-eight thousand, six hundred eighteen".

Divisors: 1 2 3 6 9 18 37 73 74 111 146 219 222 333 438 657 666 1314 2701 5402 8103 16206 24309 48618