Search a number
-
+
9424 = 241931
BaseRepresentation
bin10010011010000
3110221001
42103100
5300144
6111344
736322
oct22320
913831
109424
117098
125554
13439c
143612
152bd4
hex24d0

9424 has 20 divisors (see below), whose sum is σ = 19840. Its totient is φ = 4320.

The previous prime is 9421. The next prime is 9431. The reversal of 9424 is 4249.

9424 divided by its sum of digits (19) gives a triangular number (496 = T31).

It can be divided in two parts, 942 and 4, that added together give a triangular number (946 = T43).

9424 is nontrivially palindromic in base 9.

9424 is an admirable number.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a plaindrome in base 6.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9421) 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 3 ways as a sum of consecutive naturals, for example, 289 + ... + 319.

It is an arithmetic number, because the mean of its divisors is an integer number (992).

29424 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 9424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9920).

9424 is an abundant number, since it is smaller than the sum of its proper divisors (10416).

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

9424 is a wasteful number, since it uses less digits than its factorization.

9424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 52 counting only the distinct ones).

The product of its digits is 288, while the sum is 19.

The square root of 9424 is about 97.0772887961. The cubic root of 9424 is about 21.1224889935.

The spelling of 9424 in words is "nine thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 19 31 38 62 76 124 152 248 304 496 589 1178 2356 4712 9424