Search a number
-
+
2505239269 = 13229511169
BaseRepresentation
bin1001010101010010…
…1110101011100101
320110121001100012121
42111110232223211
520112320124034
61052331545541
7116040116401
oct22524565345
96417040177
102505239269
111076162385
1259abbb2b1
1330c045100
1419aa16101
15e9e131b4
hex9552eae5

2505239269 has 12 divisors (see below), whose sum is σ = 2806323300. Its totient is φ = 2232781824.

The previous prime is 2505239263. The next prime is 2505239287. The reversal of 2505239269 is 9629325052.

It can be written as a sum of positive squares in 6 ways, for example, as 14730244 + 2490509025 = 3838^2 + 49905^2 .

It is not a de Polignac number, because 2505239269 - 217 = 2505108197 is a prime.

It is a super-2 number, since 2×25052392692 = 12552447589879308722, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2505239263) 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, 250684 + ... + 260485.

It is an arithmetic number, because the mean of its divisors is an integer number (233860275).

Almost surely, 22505239269 is an apocalyptic number.

2505239269 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

2505239269 is a deficient number, since it is larger than the sum of its proper divisors (301084031).

2505239269 is a wasteful number, since it uses less digits than its factorization.

2505239269 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511224 (or 511211 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 43.

The square root of 2505239269 is about 50052.3652687862. The cubic root of 2505239269 is about 1358.1562510225.

The spelling of 2505239269 in words is "two billion, five hundred five million, two hundred thirty-nine thousand, two hundred sixty-nine".

Divisors: 1 13 29 169 377 4901 511169 6645197 14823901 86387561 192710713 2505239269