Search a number
-
+
252541413 = 32111725121
BaseRepresentation
bin11110000110101…
…11100111100101
3122121012102200200
433003113213211
51004122311123
641020501113
76154365225
oct1703274745
9577172620
10252541413
1111a60a113
12706aa799
13404223b7
142577c085
1517287143
hexf0d79e5

252541413 has 12 divisors (see below), whose sum is σ = 365123148. Its totient is φ = 168203520.

The previous prime is 252541411. The next prime is 252541423. The reversal of 252541413 is 314145252.

It can be written as a sum of positive squares in 2 ways, for example, as 52969284 + 199572129 = 7278^2 + 14127^2 .

It is not a de Polignac number, because 252541413 - 21 = 252541411 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252541411) 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 11 ways as a sum of consecutive naturals, for example, 2508 + ... + 22613.

It is an arithmetic number, because the mean of its divisors is an integer number (30426929).

Almost surely, 2252541413 is an apocalyptic number.

It is an amenable number.

252541413 is a deficient number, since it is larger than the sum of its proper divisors (112581735).

252541413 is a wasteful number, since it uses less digits than its factorization.

252541413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26244 (or 26241 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 252541413 is about 15891.5516234256. The cubic root of 252541413 is about 632.0879853002.

Adding to 252541413 its reverse (314145252), we get a palindrome (566686665).

The spelling of 252541413 in words is "two hundred fifty-two million, five hundred forty-one thousand, four hundred thirteen".

Divisors: 1 3 9 1117 3351 10053 25121 75363 226089 28060157 84180471 252541413