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4047 = 31971
BaseRepresentation
bin111111001111
312112220
4333033
5112142
630423
714541
oct7717
95486
104047
11304a
122413
131ac4
141691
1512ec
hexfcf

4047 has 8 divisors (see below), whose sum is σ = 5760. Its totient is φ = 2520.

The previous prime is 4027. The next prime is 4049. The reversal of 4047 is 7404.

4047 is nontrivially palindromic in base 7 and base 16.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 4047 - 27 = 3919 is a prime.

4047 is an undulating number in base 16.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22 + ... + 92.

It is an arithmetic number, because the mean of its divisors is an integer number (720).

24047 is an apocalyptic number.

4047 is a deficient number, since it is larger than the sum of its proper divisors (1713).

4047 is a wasteful number, since it uses less digits than its factorization.

4047 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93.

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 4047 is about 63.6160357143. The cubic root of 4047 is about 15.9359417931.

The spelling of 4047 in words is "four thousand, forty-seven", and thus it is an iban number.

Divisors: 1 3 19 57 71 213 1349 4047