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41564325 = 3521183607
BaseRepresentation
bin1001111010001…
…1100010100101
32220012200112110
42132203202211
541120024300
64042511233
71013201535
oct236434245
986180473
1041564325
1121509990
1211b05519
1387c389a
14573d4c5
1539b0550
hex27a38a5

41564325 has 48 divisors (see below), whose sum is σ = 75995136. Its totient is φ = 19876800.

The previous prime is 41564291. The next prime is 41564329. The reversal of 41564325 is 52346514.

41564325 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 41564325 - 28 = 41564069 is a prime.

It is a super-2 number, since 2×415643252 = 3455186225411250, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 41564292 and 41564301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41564329) 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 47 ways as a sum of consecutive naturals, for example, 68172 + ... + 68778.

It is an arithmetic number, because the mean of its divisors is an integer number (1583232).

Almost surely, 241564325 is an apocalyptic number.

It is an amenable number.

41564325 is a deficient number, since it is larger than the sum of its proper divisors (34430811).

41564325 is a wasteful number, since it uses less digits than its factorization.

41564325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 709 counting only the distinct ones).

The product of its digits is 14400, while the sum is 30.

The square root of 41564325 is about 6447.0400184891. The cubic root of 41564325 is about 346.3965654756.

The spelling of 41564325 in words is "forty-one million, five hundred sixty-four thousand, three hundred twenty-five".

Divisors: 1 3 5 11 15 25 33 55 75 83 165 249 275 415 607 825 913 1245 1821 2075 2739 3035 4565 6225 6677 9105 13695 15175 20031 22825 33385 45525 50381 68475 100155 151143 166925 251905 500775 554191 755715 1259525 1662573 2770955 3778575 8312865 13854775 41564325