Search a number
-
+
9256 = 231389
BaseRepresentation
bin10010000101000
3110200211
42100220
5244011
6110504
735662
oct22050
913624
109256
116a55
125434
1342a0
143532
152b21
hex2428

9256 has 16 divisors (see below), whose sum is σ = 18900. Its totient is φ = 4224.

The previous prime is 9241. The next prime is 9257. The reversal of 9256 is 6529.

It can be divided in two parts, 9 and 256, that multiplied together give a square (2304 = 482).

9256 is an esthetic number in base 12, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 2 ways, for example, as 8100 + 1156 = 90^2 + 34^2 .

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

Its product of digits (540) is a multiple of the sum of its prime factors (108).

It is not an unprimeable number, because it can be changed into a prime (9257) 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, 60 + ... + 148.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9450).

9256 is an abundant number, since it is smaller than the sum of its proper divisors (9644).

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

9256 is a wasteful number, since it uses less digits than its factorization.

9256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 104 counting only the distinct ones).

The product of its digits is 540, while the sum is 22.

The square root of 9256 is about 96.2081077664. The cubic root of 9256 is about 20.9962200302.

The spelling of 9256 in words is "nine thousand, two hundred fifty-six".

Divisors: 1 2 4 8 13 26 52 89 104 178 356 712 1157 2314 4628 9256