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2544401225 = 52113900673
BaseRepresentation
bin1001011110101000…
…0111101101001001
320120022201222022102
42113222013231021
520202331314400
61100251203145
7120024024242
oct22752075511
96508658272
102544401225
111096280333
125b01464b5
133171a7372
141a1ccbcc9
15ed59b9d5
hex97a87b49

2544401225 has 12 divisors (see below), whose sum is σ = 3182981916. Its totient is φ = 2017505280.

The previous prime is 2544401219. The next prime is 2544401231. The reversal of 2544401225 is 5221044452.

It is an interprime number because it is at equal distance from previous prime (2544401219) and next prime (2544401231).

It can be written as a sum of positive squares in 6 ways, for example, as 364351744 + 2180049481 = 19088^2 + 46691^2 .

It is not a de Polignac number, because 2544401225 - 26 = 2544401161 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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, 447512 + ... + 453161.

It is an arithmetic number, because the mean of its divisors is an integer number (265248493).

Almost surely, 22544401225 is an apocalyptic number.

2544401225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2544401225 is a deficient number, since it is larger than the sum of its proper divisors (638580691).

2544401225 is a wasteful number, since it uses less digits than its factorization.

2544401225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900796 (or 900791 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 29.

The square root of 2544401225 is about 50442.0580963941. The cubic root of 2544401225 is about 1365.1966020763.

Adding to 2544401225 its reverse (5221044452), we get a palindrome (7765445677).

The spelling of 2544401225 in words is "two billion, five hundred forty-four million, four hundred one thousand, two hundred twenty-five".

Divisors: 1 5 25 113 565 2825 900673 4503365 22516825 101776049 508880245 2544401225