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4142166 = 237273193
BaseRepresentation
bin1111110011010001010110
321210102222120
433303101112
52030022131
6224440410
750131200
oct17632126
97712876
104142166
11237a086
121479106
13b204b2
1479b770
1556c496
hex3f3456

4142166 has 48 divisors (see below), whose sum is σ = 9819504. Its totient is φ = 1161216.

The previous prime is 4142161. The next prime is 4142167. The reversal of 4142166 is 6612414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4142161) 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 23 ways as a sum of consecutive naturals, for example, 21366 + ... + 21558.

It is an arithmetic number, because the mean of its divisors is an integer number (204573).

Almost surely, 24142166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4142166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4909752).

4142166 is an abundant number, since it is smaller than the sum of its proper divisors (5677338).

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

4142166 is a wasteful number, since it uses less digits than its factorization.

4142166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 278 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 4142166 is about 2035.2311907987. The cubic root of 4142166 is about 160.5988754214.

The spelling of 4142166 in words is "four million, one hundred forty-two thousand, one hundred sixty-six".

Divisors: 1 2 3 6 7 14 21 42 49 73 98 146 147 193 219 294 386 438 511 579 1022 1158 1351 1533 2702 3066 3577 4053 7154 8106 9457 10731 14089 18914 21462 28178 28371 42267 56742 84534 98623 197246 295869 591738 690361 1380722 2071083 4142166