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9572864 = 2972671
BaseRepresentation
bin100100100001…
…001000000000
3200000100111112
4210201020000
54422312424
6541102452
7144240140
oct44411000
920010445
109572864
115449264
123257a28
131ca2322
1413b2920
15c9160e
hex921200

9572864 has 40 divisors (see below), whose sum is σ = 21867648. Its totient is φ = 4101120.

The previous prime is 9572863. The next prime is 9572869. The reversal of 9572864 is 4682759.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (9572863) 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, 2249 + ... + 4919.

Almost surely, 29572864 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 9572864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10933824).

9572864 is an abundant number, since it is smaller than the sum of its proper divisors (12294784).

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

9572864 is an equidigital number, since it uses as much as digits as its factorization.

9572864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2696 (or 2680 counting only the distinct ones).

The product of its digits is 120960, while the sum is 41.

The square root of 9572864 is about 3094.0045248836. The cubic root of 9572864 is about 212.3312727540.

The spelling of 9572864 in words is "nine million, five hundred seventy-two thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1792 2671 3584 5342 10684 18697 21368 37394 42736 74788 85472 149576 170944 299152 341888 598304 683776 1196608 1367552 2393216 4786432 9572864