Search a number
-
+
252742247252 = 22115744141983
BaseRepresentation
bin1110101101100010011…
…1001010001101010100
3220011101001010110011022
43223120213022031110
513120104003403002
6312035211300312
724155121440465
oct3533047121524
9804331113138
10252742247252
11982074561a0
1240b96a4a698
131aaab247cc1
14c338ac0d6c
156893946ba2
hex3ad89ca354

252742247252 has 12 divisors (see below), whose sum is σ = 482507926656. Its totient is φ = 114882839640.

The previous prime is 252742247213. The next prime is 252742247327.

252742247252 is nontrivially palindromic in base 10.

252742247252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2527422472522 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44), and also a Moran number because the ratio is a prime number: 5744141983 = 252742247252 / (2 + 5 + 2 + 7 + 4 + 2 + 2 + 4 + 7 + 2 + 5 + 2).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2872070948 + ... + 2872071035.

It is an arithmetic number, because the mean of its divisors is an integer number (40208993888).

Almost surely, 2252742247252 is an apocalyptic number.

252742247252 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

252742247252 is a deficient number, since it is larger than the sum of its proper divisors (229765679404).

252742247252 is a wasteful number, since it uses less digits than its factorization.

252742247252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5744141998 (or 5744141996 counting only the distinct ones).

The product of its digits is 1254400, while the sum is 44.

It can be divided in two parts, 252742 and 247252, that added together give a palindrome (499994).

The spelling of 252742247252 in words is "two hundred fifty-two billion, seven hundred forty-two million, two hundred forty-seven thousand, two hundred fifty-two".

Divisors: 1 2 4 11 22 44 5744141983 11488283966 22976567932 63185561813 126371123626 252742247252