Search a number
-
+
9924496 = 242973293
BaseRepresentation
bin100101110110…
…111110010000
3200200012211221
4211312332100
510020040441
6552414424
7150233251
oct45667620
920605757
109924496
11566946a
1233a7414
1320963aa
141464b28
15d108d1
hex976f90

9924496 has 40 divisors (see below), whose sum is σ = 20233080. Its totient is φ = 4709376.

The previous prime is 9924493. The next prime is 9924503. The reversal of 9924496 is 6944299.

It can be written as a sum of positive squares in 4 ways, for example, as 4260096 + 5664400 = 2064^2 + 2380^2 .

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (9924493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33726 + ... + 34018.

It is an arithmetic number, because the mean of its divisors is an integer number (505827).

Almost surely, 29924496 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 9924496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10116540).

9924496 is an abundant number, since it is smaller than the sum of its proper divisors (10308584).

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

9924496 is a wasteful number, since it uses less digits than its factorization.

9924496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 397 counting only the distinct ones).

The product of its digits is 139968, while the sum is 43.

The square root of 9924496 is about 3150.3168094654. The cubic root of 9924496 is about 214.8998704473.

The spelling of 9924496 in words is "nine million, nine hundred twenty-four thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 29 58 73 116 146 232 292 293 464 584 586 1168 1172 2117 2344 4234 4688 8468 8497 16936 16994 21389 33872 33988 42778 67976 85556 135952 171112 342224 620281 1240562 2481124 4962248 9924496