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47112 = 23313151
BaseRepresentation
bin1011100000001000
32101121220
423200020
53001422
61002040
7254232
oct134010
971556
1047112
113243a
1223320
13185a0
1413252
15de5c
hexb808

47112 has 32 divisors (see below), whose sum is σ = 127680. Its totient is φ = 14400.

The previous prime is 47111. The next prime is 47119. The reversal of 47112 is 21174.

It is a junction number, because it is equal to n+sod(n) for n = 47091 and 47100.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 47112.

It is not an unprimeable number, because it can be changed into a prime (47111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 237 + ... + 387.

It is an arithmetic number, because the mean of its divisors is an integer number (3990).

247112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63840).

47112 is an abundant number, since it is smaller than the sum of its proper divisors (80568).

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

47112 is a wasteful number, since it uses less digits than its factorization.

47112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 169 counting only the distinct ones).

The product of its digits is 56, while the sum is 15.

The square root of 47112 is about 217.0529889221. The cubic root of 47112 is about 36.1169039140.

Adding to 47112 its reverse (21174), we get a palindrome (68286).

The spelling of 47112 in words is "forty-seven thousand, one hundred twelve", and thus it is an iban number.

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 151 156 302 312 453 604 906 1208 1812 1963 3624 3926 5889 7852 11778 15704 23556 47112