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9923472 = 2434131931
BaseRepresentation
bin100101110110…
…101110010000
3200200011110000
4211312232100
510020022342
6552410000
7150230256
oct45665620
920604400
109923472
115668719
1233a6900
132095aa0
1414645d6
15d1044c
hex976b90

9923472 has 200 divisors, whose sum is σ = 33608960. Its totient is φ = 2799360.

The previous prime is 9923471. The next prime is 9923477. The reversal of 9923472 is 2743299.

9923472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (9923471) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 320097 + ... + 320127.

Almost surely, 29923472 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 9923472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16804480).

9923472 is an abundant number, since it is smaller than the sum of its proper divisors (23685488).

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

9923472 is a wasteful number, since it uses less digits than its factorization.

9923472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 68 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 9923472 is about 3150.1542819360. The cubic root of 9923472 is about 214.8924791388.

The spelling of 9923472 in words is "nine million, nine hundred twenty-three thousand, four hundred seventy-two".