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42712 = 2319281
BaseRepresentation
bin1010011011011000
32011120221
422123120
52331322
6525424
7235345
oct123330
964527
1042712
112a0aa
1220874
1316597
14117cc
15c9c7
hexa6d8

42712 has 16 divisors (see below), whose sum is σ = 84600. Its totient is φ = 20160.

The previous prime is 42709. The next prime is 42719. The reversal of 42712 is 21724.

42712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a plaindrome in base 14.

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 3 ways as a sum of consecutive naturals, for example, 12 + ... + 292.

242712 is an apocalyptic number.

It is an amenable number.

42712 is a deficient number, since it is larger than the sum of its proper divisors (41888).

42712 is a wasteful number, since it uses less digits than its factorization.

42712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 302 counting only the distinct ones).

The product of its digits is 112, while the sum is 16.

The square root of 42712 is about 206.6688171931. The cubic root of 42712 is about 34.9555899322.

Adding to 42712 its product of digits (112), we get a palindrome (42824).

The spelling of 42712 in words is "forty-two thousand, seven hundred twelve", and thus it is an iban number.

Divisors: 1 2 4 8 19 38 76 152 281 562 1124 2248 5339 10678 21356 42712