Search a number
-
+
48126 = 2313617
BaseRepresentation
bin1011101111111110
32110000110
423233332
53020001
61010450
7260211
oct135776
973013
1048126
1133181
1223a26
1318ba0
1413778
15e3d6
hexbbfe

48126 has 16 divisors (see below), whose sum is σ = 103824. Its totient is φ = 14784.

The previous prime is 48121. The next prime is 48131. The reversal of 48126 is 62184.

It is an interprime number because it is at equal distance from previous prime (48121) and next prime (48131).

It is a super-2 number, since 2×481262 = 4632223752, which contains 22 as substring.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48121) by changing a digit.

48126 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 231 + ... + 386.

It is an arithmetic number, because the mean of its divisors is an integer number (6489).

248126 is an apocalyptic number.

48126 is an abundant number, since it is smaller than the sum of its proper divisors (55698).

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 (51912).

48126 is a wasteful number, since it uses less digits than its factorization.

48126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635.

The product of its digits is 384, while the sum is 21.

The square root of 48126 is about 219.3763888845. The cubic root of 48126 is about 36.3741836829.

The spelling of 48126 in words is "forty-eight thousand, one hundred twenty-six".

Divisors: 1 2 3 6 13 26 39 78 617 1234 1851 3702 8021 16042 24063 48126