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42786 = 2322377
BaseRepresentation
bin1010011100100010
32011200200
422130202
52332121
6530030
7235512
oct123442
964620
1042786
112a167
1220916
1316623
1411842
15ca26
hexa722

42786 has 12 divisors (see below), whose sum is σ = 92742. Its totient is φ = 14256.

The previous prime is 42773. The next prime is 42787. The reversal of 42786 is 68724.

It can be written as a sum of positive squares in only one way, i.e., 38025 + 4761 = 195^2 + 69^2 .

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 42786.

It is not an unprimeable number, because it can be changed into a prime (42787) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1171 + ... + 1206.

242786 is an apocalyptic number.

42786 is an abundant number, since it is smaller than the sum of its proper divisors (49956).

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

42786 is a wasteful number, since it uses less digits than its factorization.

42786 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2385 (or 2382 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 42786 is about 206.8477701113. The cubic root of 42786 is about 34.9757655365.

It can be divided in two parts, 42 and 786, that added together give a palindrome (828).

The spelling of 42786 in words is "forty-two thousand, seven hundred eighty-six".

Divisors: 1 2 3 6 9 18 2377 4754 7131 14262 21393 42786