Search a number
-
+
6252 = 223521
BaseRepresentation
bin1100001101100
322120120
41201230
5200002
644540
724141
oct14154
98516
106252
114774
123750
132acc
1423c8
151cbc
hex186c

6252 has 12 divisors (see below), whose sum is σ = 14616. Its totient is φ = 2080.

The previous prime is 6247. The next prime is 6257. The reversal of 6252 is 2526.

Added to its reverse (2526) it gives a triangular number (8778 = T132).

6252 is nontrivially palindromic in base 5 and base 11.

It is an interprime number because it is at equal distance from previous prime (6247) and next prime (6257).

It is a tau number, because it is divible by the number of its divisors (12).

It is a Smith number, since the sum of its digits (15) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (6257) 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, 249 + ... + 272.

It is an arithmetic number, because the mean of its divisors is an integer number (1218).

It is an amenable number.

6252 is an abundant number, since it is smaller than the sum of its proper divisors (8364).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7308).

6252 is a wasteful number, since it uses less digits than its factorization.

6252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 526 counting only the distinct ones).

The product of its digits is 120, while the sum is 15.

The square root of 6252 is about 79.0695896031. The cubic root of 6252 is about 18.4221221005.

Adding to 6252 its reverse (2526), we get a palindrome (8778).

The spelling of 6252 in words is "six thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 521 1042 1563 2084 3126 6252