Search a number
-
+
54042131 = 11133071231
BaseRepresentation
bin1100111000100…
…1111000010011
310202200121212102
43032021320103
5102313322011
65210151015
71224231143
oct316117023
9122617772
1054042131
1128561720
121612246b
13b2721c0
14726a923
154b2773b
hex3389e13

54042131 has 16 divisors (see below), whose sum is σ = 63748608. Its totient is φ = 45165600.

The previous prime is 54042097. The next prime is 54042181. The reversal of 54042131 is 13124045.

54042131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 54042131 - 26 = 54042067 is a prime.

It is a super-2 number, since 2×540421312 = 5841103846042322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (54042181) 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 15 ways as a sum of consecutive naturals, for example, 43286 + ... + 44516.

It is an arithmetic number, because the mean of its divisors is an integer number (3984288).

Almost surely, 254042131 is an apocalyptic number.

54042131 is a deficient number, since it is larger than the sum of its proper divisors (9706477).

54042131 is a wasteful number, since it uses less digits than its factorization.

54042131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1562.

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 54042131 is about 7351.3353208788. The cubic root of 54042131 is about 378.0745889219.

Adding to 54042131 its reverse (13124045), we get a palindrome (67166176).

The spelling of 54042131 in words is "fifty-four million, forty-two thousand, one hundred thirty-one".

Divisors: 1 11 13 143 307 1231 3377 3991 13541 16003 43901 176033 377917 4157087 4912921 54042131