Search a number
-
+
49131 = 3253103
BaseRepresentation
bin1011111111101011
32111101200
423333223
53033011
61015243
7263145
oct137753
974350
1049131
1133a05
1224523
1319494
1413c95
15e856
hexbfeb

49131 has 12 divisors (see below), whose sum is σ = 73008. Its totient is φ = 31824.

The previous prime is 49123. The next prime is 49139. The reversal of 49131 is 13194.

It is an interprime number because it is at equal distance from previous prime (49123) and next prime (49139).

It is not a de Polignac number, because 49131 - 23 = 49123 is a prime.

It is a super-2 number, since 2×491312 = 4827710322, which contains 22 as substring.

It is a Smith number, since the sum of its digits (18) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (49139) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 426 + ... + 528.

It is an arithmetic number, because the mean of its divisors is an integer number (6084).

249131 is an apocalyptic number.

49131 is a deficient number, since it is larger than the sum of its proper divisors (23877).

49131 is a wasteful number, since it uses less digits than its factorization.

49131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 159 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 49131 is about 221.6551375448. The cubic root of 49131 is about 36.6256382219.

Subtracting from 49131 its reverse (13194), we obtain a cube (35937 = 333).

The spelling of 49131 in words is "forty-nine thousand, one hundred thirty-one".

Divisors: 1 3 9 53 103 159 309 477 927 5459 16377 49131