Search a number
-
+
254113431 = 31121353849
BaseRepresentation
bin11110010010101…
…11011010010111
3122201011022002120
433021113122113
51010023112211
641114311023
76203633325
oct1711273227
9581138076
10254113431
11120493200
1271128473
1340852aa0
1425a6ad15
1517497d06
hexf257697

254113431 has 24 divisors (see below), whose sum is σ = 401074800. Its totient is φ = 142158720.

The previous prime is 254113427. The next prime is 254113441. The reversal of 254113431 is 134311452.

It is a happy number.

It is not a de Polignac number, because 254113431 - 22 = 254113427 is a prime.

It is a super-2 number, since 2×2541134312 = 129147271629183522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254113421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22206 + ... + 31643.

It is an arithmetic number, because the mean of its divisors is an integer number (16711450).

Almost surely, 2254113431 is an apocalyptic number.

254113431 is a deficient number, since it is larger than the sum of its proper divisors (146961369).

254113431 is a wasteful number, since it uses less digits than its factorization.

254113431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53887 (or 53876 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 254113431 is about 15940.9357002655. The cubic root of 254113431 is about 633.3968122584.

Adding to 254113431 its reverse (134311452), we get a palindrome (388424883).

The spelling of 254113431 in words is "two hundred fifty-four million, one hundred thirteen thousand, four hundred thirty-one".

Divisors: 1 3 11 13 33 39 121 143 363 429 1573 4719 53849 161547 592339 700037 1777017 2100111 6515729 7700407 19547187 23101221 84704477 254113431