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9528001 = 72337577
BaseRepresentation
bin100100010110…
…001011000001
3122221001221221
4210112023001
54414344001
6540115041
7143662300
oct44261301
918831857
109528001
11541858a
123235a81
131c87a92
1413a0437
15c831a1
hex9162c1

9528001 has 12 divisors (see below), whose sum is σ = 11135748. Its totient is φ = 8128512.

The previous prime is 9527989. The next prime is 9528011. The reversal of 9528001 is 1008259.

It can be written as a sum of positive squares in 2 ways, for example, as 6890625 + 2637376 = 2625^2 + 1624^2 .

It is not a de Polignac number, because 9528001 - 211 = 9525953 is a prime.

It is a Duffinian number.

9528001 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (9528011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16225 + ... + 16801.

It is an arithmetic number, because the mean of its divisors is an integer number (927979).

Almost surely, 29528001 is an apocalyptic number.

It is an amenable number.

9528001 is a deficient number, since it is larger than the sum of its proper divisors (1607747).

9528001 is a wasteful number, since it uses less digits than its factorization.

9528001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

The square root of 9528001 is about 3086.7460212982. The cubic root of 9528001 is about 211.9990580829. Note that the first 3 decimals are identical.

The spelling of 9528001 in words is "nine million, five hundred twenty-eight thousand, one".

Divisors: 1 7 49 337 577 2359 4039 16513 28273 194449 1361143 9528001