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2505420441 = 321716375297
BaseRepresentation
bin1001010101010101…
…1010111010011001
320110121101112201200
42111111122322121
520112341423231
61052335504413
7116041502526
oct22525327231
96417345650
102505420441
111076276507
1259b088109
1330c0a9704
1419aa6214d
15e9e4bbe6
hex9555ae99

2505420441 has 12 divisors (see below), whose sum is σ = 3831819732. Its totient is φ = 1572028416.

The previous prime is 2505420419. The next prime is 2505420557. The reversal of 2505420441 is 1440245052.

It can be written as a sum of positive squares in 2 ways, for example, as 796424841 + 1708995600 = 28221^2 + 41340^2 .

It is not a de Polignac number, because 2505420441 - 213 = 2505412249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2505420941) 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, 8187496 + ... + 8187801.

It is an arithmetic number, because the mean of its divisors is an integer number (319318311).

Almost surely, 22505420441 is an apocalyptic number.

It is an amenable number.

2505420441 is a deficient number, since it is larger than the sum of its proper divisors (1326399291).

2505420441 is a wasteful number, since it uses less digits than its factorization.

2505420441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16375320 (or 16375317 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 2505420441 is about 50054.1750606281. The cubic root of 2505420441 is about 1358.1889896058.

Adding to 2505420441 its reverse (1440245052), we get a palindrome (3945665493).

The spelling of 2505420441 in words is "two billion, five hundred five million, four hundred twenty thousand, four hundred forty-one".

Divisors: 1 3 9 17 51 153 16375297 49125891 147377673 278380049 835140147 2505420441