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42729 = 314243
BaseRepresentation
bin1010011011101001
32011121120
422123221
52331404
6525453
7235401
oct123351
964546
1042729
112a115
1220889
13165ab
1411801
15c9d9
hexa6e9

42729 has 4 divisors (see below), whose sum is σ = 56976. Its totient is φ = 28484.

The previous prime is 42727. The next prime is 42737. The reversal of 42729 is 92724.

42729 is nontrivially palindromic in base 9.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 42729 - 21 = 42727 is a prime.

It is a D-number.

It is a junction number, because it is equal to n+sod(n) for n = 42699 and 42708.

It is not an unprimeable number, because it can be changed into a prime (42727) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7119 + ... + 7124.

It is an arithmetic number, because the mean of its divisors is an integer number (14244).

242729 is an apocalyptic number.

It is an amenable number.

42729 is a deficient number, since it is larger than the sum of its proper divisors (14247).

42729 is a wasteful number, since it uses less digits than its factorization.

42729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14246.

The product of its digits is 1008, while the sum is 24.

The square root of 42729 is about 206.7099417058. The cubic root of 42729 is about 34.9602269289.

The spelling of 42729 in words is "forty-two thousand, seven hundred twenty-nine".

Divisors: 1 3 14243 42729