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42544625 = 531720021
BaseRepresentation
bin1010001001001…
…0110111110001
32222001111020212
42202102313301
541342412000
64115513505
71024423544
oct242226761
988044225
1042544625
1122019452
12122b8895
138a77b46
14591685b
153b05c35
hex2892df1

42544625 has 16 divisors (see below), whose sum is σ = 56221776. Its totient is φ = 32032000.

The previous prime is 42544603. The next prime is 42544627. The reversal of 42544625 is 52644524.

42544625 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 8 ways, for example, as 19571776 + 22972849 = 4424^2 + 4793^2 .

It is not a de Polignac number, because 42544625 - 212 = 42540529 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 42544591 and 42544600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42544627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7886 + ... + 12135.

It is an arithmetic number, because the mean of its divisors is an integer number (3513861).

Almost surely, 242544625 is an apocalyptic number.

It is an amenable number.

42544625 is a deficient number, since it is larger than the sum of its proper divisors (13677151).

42544625 is a wasteful number, since it uses less digits than its factorization.

42544625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20053 (or 20043 counting only the distinct ones).

The product of its digits is 38400, while the sum is 32.

The square root of 42544625 is about 6522.6240885092. The cubic root of 42544625 is about 349.0987014316.

The spelling of 42544625 in words is "forty-two million, five hundred forty-four thousand, six hundred twenty-five".

Divisors: 1 5 17 25 85 125 425 2125 20021 100105 340357 500525 1701785 2502625 8508925 42544625