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2544025 = 52112292
BaseRepresentation
bin1001101101000110011001
311210020202011
421231012121
51122402100
6130305521
730423661
oct11550631
94706664
102544025
111488400
12a282a1
136b0c53
144a31a1
15353bba
hex26d199

2544025 has 27 divisors (see below), whose sum is σ = 3591133. Its totient is φ = 1786400.

The previous prime is 2544011. The next prime is 2544029. The reversal of 2544025 is 5204452.

2544025 = T244 + T245 + ... + T309.

The square root of 2544025 is 1595.

It is a perfect power (a square), and thus also a powerful number.

2544025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 34969 + 2509056 = 187^2 + 1584^2 .

It is a de Polignac number, because none of the positive numbers 2k-2544025 is a prime.

It is a Duffinian number.

2544025 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 2543987 and 2544005.

It is not an unprimeable number, because it can be changed into a prime (2544029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 87711 + ... + 87739.

22544025 is an apocalyptic number.

2544025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2544025 is the 1595-th square number.

2544025 is the 798-th centered octagonal number.

It is an amenable number.

2544025 is a deficient number, since it is larger than the sum of its proper divisors (1047108).

2544025 is a wasteful number, since it uses less digits than its factorization.

2544025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 22.

The cubic root of 2544025 is about 136.5129311011.

Multiplying 2544025 by its product of nonzero digits (1600), we get a square (4070440000 = 638002).

Adding to 2544025 its reverse (5204452), we get a palindrome (7748477).

The spelling of 2544025 in words is "two million, five hundred forty-four thousand, twenty-five".

Divisors: 1 5 11 25 29 55 121 145 275 319 605 725 841 1595 3025 3509 4205 7975 9251 17545 21025 46255 87725 101761 231275 508805 2544025