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9003025 = 52379733
BaseRepresentation
bin100010010110…
…000000010001
3121221101211101
4202112000101
54301044100
6520544401
7136344613
oct42260021
917841741
109003025
11509a119
123022101
131b32b45
1412a4db3
15bcc86a
hex896011

9003025 has 12 divisors (see below), whose sum is σ = 11466652. Its totient is φ = 7007040.

The previous prime is 9003023. The next prime is 9003031. The reversal of 9003025 is 5203009.

It can be written as a sum of positive squares in 6 ways, for example, as 760384 + 8242641 = 872^2 + 2871^2 .

It is not a de Polignac number, because 9003025 - 21 = 9003023 is a prime.

It is a Duffinian number.

9003025 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 9002993 and 9003011.

It is not an unprimeable number, because it can be changed into a prime (9003023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3942 + ... + 5791.

Almost surely, 29003025 is an apocalyptic number.

It is an amenable number.

9003025 is a deficient number, since it is larger than the sum of its proper divisors (2463627).

9003025 is a wasteful number, since it uses less digits than its factorization.

9003025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9780 (or 9775 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 19.

The square root of 9003025 is about 3000.5041243098. The cubic root of 9003025 is about 208.0316843375.

It can be divided in two parts, 900 and 3025, that multiplied together give a square (2722500 = 16502).

The spelling of 9003025 in words is "nine million, three thousand, twenty-five".

Divisors: 1 5 25 37 185 925 9733 48665 243325 360121 1800605 9003025