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9025000 = 2355192
BaseRepresentation
bin100010011011…
…010111101000
3121222111222021
4202123113220
54302300000
6521234224
7136465645
oct42332750
917874867
109025000
115104686
123032974
131b3cb4a
1412acdcc
15bd411a
hex89b5e8

9025000 has 72 divisors (see below), whose sum is σ = 22322790. Its totient is φ = 3420000.

The previous prime is 9024989. The next prime is 9025013. The reversal of 9025000 is 5209.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

9025000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 12996 + 9012004 = 114^2 + 3002^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 474991 + ... + 475009.

Almost surely, 29025000 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 9025000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11161395).

9025000 is an abundant number, since it is smaller than the sum of its proper divisors (13297790).

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

9025000 is an equidigital number, since it uses as much as digits as its factorization.

9025000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 9025000 is about 3004.1637771600. The cubic root of 9025000 is about 208.2008046002.

Multiplying 9025000 by its product of nonzero digits (90), we get a square (812250000 = 285002).

It can be divided in two parts, 90 and 25000, that multiplied together give a square (2250000 = 15002).

The spelling of 9025000 in words is "nine million, twenty-five thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 125 152 190 200 250 361 380 475 500 625 722 760 950 1000 1250 1444 1805 1900 2375 2500 2888 3125 3610 3800 4750 5000 6250 7220 9025 9500 11875 12500 14440 18050 19000 23750 25000 36100 45125 47500 59375 72200 90250 95000 118750 180500 225625 237500 361000 451250 475000 902500 1128125 1805000 2256250 4512500 9025000