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66042025 = 5271779281
BaseRepresentation
bin1111101111101…
…1100010101001
311121021021121221
43323323202221
5113401321100
610315302041
71431230230
oct373734251
9147237557
1066042025
1134308395
121a14a921
13108b412a
148ab1b17
155be801a
hex3efb8a9

66042025 has 48 divisors (see below), whose sum is σ = 100707840. Its totient is φ = 41932800.

The previous prime is 66042007. The next prime is 66042029. The reversal of 66042025 is 52024066.

It is not a de Polignac number, because 66042025 - 27 = 66041897 is a prime.

It is a super-2 number, since 2×660420252 = 8723098132201250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66042029) 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 47 ways as a sum of consecutive naturals, for example, 234885 + ... + 235165.

It is an arithmetic number, because the mean of its divisors is an integer number (2098080).

Almost surely, 266042025 is an apocalyptic number.

It is an amenable number.

66042025 is a deficient number, since it is larger than the sum of its proper divisors (34665815).

66042025 is a wasteful number, since it uses less digits than its factorization.

66042025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 66042025 is about 8126.6244529940. The cubic root of 66042025 is about 404.2097581622.

The spelling of 66042025 in words is "sixty-six million, forty-two thousand, twenty-five".

Divisors: 1 5 7 17 25 35 79 85 119 175 281 395 425 553 595 1343 1405 1967 1975 2765 2975 4777 6715 7025 9401 9835 13825 22199 23885 33439 33575 47005 49175 110995 119425 155393 167195 235025 377383 554975 776965 835975 1886915 2641681 3884825 9434575 13208405 66042025