Search a number
-
+
9796248 = 23337111931
BaseRepresentation
bin100101010111…
…101010011000
3200102200221000
4211113222120
510001434443
6545545000
7146160330
oct45275230
920380830
109796248
115591080
123345160
13204cbc7
1414300c0
15cd78d3
hex957a98

9796248 has 256 divisors, whose sum is σ = 36864000. Its totient is φ = 2332800.

The previous prime is 9796247. The next prime is 9796261. The reversal of 9796248 is 8426979.

It is a happy number.

9796248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9796243) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 315993 + ... + 316023.

It is an arithmetic number, because the mean of its divisors is an integer number (144000).

Almost surely, 29796248 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 9796248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18432000).

9796248 is an abundant number, since it is smaller than the sum of its proper divisors (27067752).

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

9796248 is a wasteful number, since it uses less digits than its factorization.

9796248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 73 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 9796248 is about 3129.8958449124. The cubic root of 9796248 is about 213.9701824703.

It can be divided in two parts, 979 and 6248, that added together give a palindrome (7227).

The spelling of 9796248 in words is "nine million, seven hundred ninety-six thousand, two hundred forty-eight".