48841 has 9 divisors (see below), whose sum is σ = 56181. Its totient is φ = 42432.

The previous prime is 48823. The next prime is 48847. The reversal of 48841 is 14884.

Multipling 48841 by its sum of digits (25), we get a square (1221025 = 1105^{2}).

Multipling 48841 by its product of digits (1024), we get a square (50013184 = 7072^{2}).

Multipling 48841 by its reverse (14884), we get a square (726949444 = 26962^{2}).

It can be divided in two parts, 488 and 41, that added together give a square (529 = 23^{2}).

48841 = T_{220} + T_{221}.

The square root of 48841 is 221.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 441 + 48400 = 21^2 + 220^2 .

It is not a de Polignac number, because 48841 - 2^{5} = 48809 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (48847) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2865 + ... + 2881.

2^{48841} is an apocalyptic number.

48841 is the 221-st square number.

48841 is the 111-st centered octagonal number.

It is an amenable number.

48841 is a deficient number, since it is larger than the sum of its proper divisors (7340).

48841 is a wasteful number, since it uses less digits than its factorization.

48841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 30 counting only the distinct ones).

The product of its digits is 1024, while the sum is 25.

The cubic root of 48841 is about 36.5534339662.

The spelling of 48841 in words is "forty-eight thousand, eight hundred forty-one".

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