Search a number
-
+
9259250625 = 325412832
BaseRepresentation
bin10001001111110010…
…01111001111000001
3212220021220200000100
420213321033033001
5122430332010000
64130441513013
7445311221532
oct104771171701
925807820010
109259250625
113a21673049
121964aa2769
13b473b1431
1463ba1c689
15392d3ba00
hex227e4f3c1

9259250625 has 45 divisors (see below), whose sum is σ = 16725778069. Its totient is φ = 4934418000.

The previous prime is 9259250597. The next prime is 9259250633. The reversal of 9259250625 is 5260529529.

The square root of 9259250625 is 96225.

It is a perfect power (a square), and thus also a powerful number.

9259250625 is a `hidden beast` number, since 9 + 2 + 592 + 50 + 6 + 2 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 725925249 + 8533325376 = 26943^2 + 92376^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 9259250625 - 217 = 9259119553 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 7216234 + ... + 7217516.

Almost surely, 29259250625 is an apocalyptic number.

9259250625 is the 96225-th square number.

9259250625 is the 48113-rd centered octagonal number.

It is an amenable number.

9259250625 is a deficient number, since it is larger than the sum of its proper divisors (7466527444).

9259250625 is an frugal number, since it uses more digits than its factorization.

9259250625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2592 (or 1291 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The cubic root of 9259250625 is about 2099.8677637822.

The spelling of 9259250625 in words is "nine billion, two hundred fifty-nine million, two hundred fifty thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 625 1125 1283 1875 3849 5625 6415 11547 19245 32075 57735 96225 160375 288675 481125 801875 1443375 1646089 2405625 4938267 7216875 8230445 14814801 24691335 41152225 74074005 123456675 205761125 370370025 617283375 1028805625 1851850125 3086416875 9259250625