Search a number
-
+
47012 = 2272373
BaseRepresentation
bin1011011110100100
32101111012
423132210
53001022
61001352
7254030
oct133644
971435
1047012
1132359
1223258
1318524
14131c0
15dde2
hexb7a4

47012 has 24 divisors (see below), whose sum is σ = 99456. Its totient is φ = 19008.

The previous prime is 46997. The next prime is 47017. The reversal of 47012 is 21074.

It is a happy number.

47012 is nontrivially palindromic in base 3.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47017) by changing a digit.

47012 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 608 + ... + 680.

It is an arithmetic number, because the mean of its divisors is an integer number (4144).

247012 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 47012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49728).

47012 is an abundant number, since it is smaller than the sum of its proper divisors (52444).

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

47012 is a wasteful number, since it uses less digits than its factorization.

47012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 47012 is about 216.8225080567. The cubic root of 47012 is about 36.0913318814.

Adding to 47012 its reverse (21074), we get a palindrome (68086).

The spelling of 47012 in words is "forty-seven thousand, twelve", and thus it is an iban number.

Divisors: 1 2 4 7 14 23 28 46 73 92 146 161 292 322 511 644 1022 1679 2044 3358 6716 11753 23506 47012