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66882606 = 23737193223
BaseRepresentation
bin1111111100100…
…0110000101110
311122211222200120
43333020300232
5114110220411
610345305410
71441331010
oct377106056
9148758616
1066882606
113483198a
121a495266
1310b1990b
148c501b0
155d12106
hex3fc8c2e

66882606 has 64 divisors (see below), whose sum is σ = 158527488. Its totient is φ = 18413568.

The previous prime is 66882601. The next prime is 66882617. The reversal of 66882606 is 60628866.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66882601) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 299811 + ... + 300033.

It is an arithmetic number, because the mean of its divisors is an integer number (2476992).

Almost surely, 266882606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66882606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79263744).

66882606 is an abundant number, since it is smaller than the sum of its proper divisors (91644882).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

66882606 is a wasteful number, since it uses less digits than its factorization.

66882606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465.

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 66882606 is about 8178.1786480854. The cubic root of 66882606 is about 405.9174567486.

The spelling of 66882606 in words is "sixty-six million, eight hundred eighty-two thousand, six hundred six".

Divisors: 1 2 3 6 7 14 21 37 42 74 111 193 222 223 259 386 446 518 579 669 777 1158 1338 1351 1554 1561 2702 3122 4053 4683 7141 8106 8251 9366 14282 16502 21423 24753 42846 43039 49506 49987 57757 86078 99974 115514 129117 149961 173271 258234 299922 301273 346542 602546 903819 1592443 1807638 3184886 4777329 9554658 11147101 22294202 33441303 66882606