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42666225 = 3527181449
BaseRepresentation
bin1010001011000…
…0100011110001
32222021200001120
42202300203301
541410304400
64122252453
71025441220
oct242604361
988250046
1042666225
11220a1848
1212357129
138abb2b4
145948cb7
153b2bca0
hex28b08f1

42666225 has 48 divisors (see below), whose sum is σ = 81244800. Its totient is φ = 19353600.

The previous prime is 42666223. The next prime is 42666257. The reversal of 42666225 is 52266624.

It is not a de Polignac number, because 42666225 - 21 = 42666223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42666223) 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 47 ways as a sum of consecutive naturals, for example, 94801 + ... + 95249.

It is an arithmetic number, because the mean of its divisors is an integer number (1692600).

Almost surely, 242666225 is an apocalyptic number.

It is an amenable number.

42666225 is a deficient number, since it is larger than the sum of its proper divisors (38578575).

42666225 is a wasteful number, since it uses less digits than its factorization.

42666225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 645 counting only the distinct ones).

The product of its digits is 34560, while the sum is 33.

The square root of 42666225 is about 6531.9388392728. The cubic root of 42666225 is about 349.4309801673.

The spelling of 42666225 in words is "forty-two million, six hundred sixty-six thousand, two hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 75 105 175 181 449 525 543 905 1267 1347 2245 2715 3143 3801 4525 6335 6735 9429 11225 13575 15715 19005 31675 33675 47145 78575 81269 95025 235725 243807 406345 568883 1219035 1706649 2031725 2844415 6095175 8533245 14222075 42666225