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48342 = 2371151
BaseRepresentation
bin1011110011010110
32110022110
423303112
53021332
61011450
7260640
oct136326
973273
1048342
1133358
1223b86
1319008
1413890
15e4cc
hexbcd6

48342 has 16 divisors (see below), whose sum is σ = 110592. Its totient is φ = 13800.

The previous prime is 48341. The next prime is 48353. The reversal of 48342 is 24384.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a plaindrome in base 11.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 48342.

It is not an unprimeable number, because it can be changed into a prime (48341) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 534 + ... + 617.

It is an arithmetic number, because the mean of its divisors is an integer number (6912).

248342 is an apocalyptic number.

48342 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

48342 is an abundant number, since it is smaller than the sum of its proper divisors (62250).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55296).

48342 is a wasteful number, since it uses less digits than its factorization.

48342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163.

The product of its digits is 768, while the sum is 21.

The square root of 48342 is about 219.8681423035. The cubic root of 48342 is about 36.4285208985.

Subtracting from 48342 its product of digits (768), we obtain a palindrome (47574).

It can be divided in two parts, 483 and 42, that added together give a palindrome (525).

The spelling of 48342 in words is "forty-eight thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 1151 2302 3453 6906 8057 16114 24171 48342