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9648940 = 2257413
BaseRepresentation
bin100100110011…
…101100101100
3200011012212011
4210303230230
54432231230
6542451004
7145005010
oct44635454
920135764
109648940
1154a0434
123293a64
131ccab42
1413d2540
15ca8e2a
hex933b2c

9648940 has 48 divisors (see below), whose sum is σ = 23736384. Its totient is φ = 3227520.

The previous prime is 9648923. The next prime is 9648949. The reversal of 9648940 is 498469.

9648940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 9648893 and 9648902.

It is not an unprimeable number, because it can be changed into a prime (9648949) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 235320 + ... + 235360.

It is an arithmetic number, because the mean of its divisors is an integer number (494508).

Almost surely, 29648940 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 9648940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11868192).

9648940 is an abundant number, since it is smaller than the sum of its proper divisors (14087444).

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

9648940 is an equidigital number, since it uses as much as digits as its factorization.

9648940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 9648940 is about 3106.2742956796. The cubic root of 9648940 is about 212.8922581759.

The spelling of 9648940 in words is "nine million, six hundred forty-eight thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 70 82 140 164 205 287 410 574 820 1148 1435 1681 2870 3362 5740 6724 8405 11767 16810 23534 33620 47068 58835 68921 117670 137842 235340 275684 344605 482447 689210 964894 1378420 1929788 2412235 4824470 9648940