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42713 = 112353
BaseRepresentation
bin1010011011011001
32011120222
422123121
52331323
6525425
7235346
oct123331
964528
1042713
112a100
1220875
1316598
14117cd
15c9c8
hexa6d9

42713 has 6 divisors (see below), whose sum is σ = 47082. Its totient is φ = 38720.

The previous prime is 42709. The next prime is 42719. The reversal of 42713 is 31724.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 34969 + 7744 = 187^2 + 88^2 .

It is not a de Polignac number, because 42713 - 22 = 42709 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 42691 and 42700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42719) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 56 + ... + 297.

It is an arithmetic number, because the mean of its divisors is an integer number (7847).

242713 is an apocalyptic number.

It is an amenable number.

42713 is a deficient number, since it is larger than the sum of its proper divisors (4369).

42713 is a wasteful number, since it uses less digits than its factorization.

42713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 364 counting only the distinct ones).

The product of its digits is 168, while the sum is 17.

The square root of 42713 is about 206.6712365086. The cubic root of 42713 is about 34.9558627308.

The spelling of 42713 in words is "forty-two thousand, seven hundred thirteen".

Divisors: 1 11 121 353 3883 42713