Search a number
-
+
8809025040 = 2432512234757
BaseRepresentation
bin10000011010000111…
…10000111000010000
3211201220201211121200
420031003300320100
5121020102300130
64014035551200
7431203322514
oct101503607020
924656654550
108809025040
113810512992
12185a15b500
13aa5035b6a
145d7d02144
15368556760
hex20d0f0e10

8809025040 has 60 divisors (see below), whose sum is σ = 29583644844. Its totient is φ = 2349073152.

The previous prime is 8809025033. The next prime is 8809025041. The reversal of 8809025040 is 405209088.

It can be written as a sum of positive squares in 2 ways, for example, as 4370267664 + 4438757376 = 66108^2 + 66624^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8809024986 and 8809025004.

It is not an unprimeable number, because it can be changed into a prime (8809025041) 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, 6116659 + ... + 6118098.

Almost surely, 28809025040 is an apocalyptic number.

8809025040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8809025040 is an abundant number, since it is smaller than the sum of its proper divisors (20774619804).

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

8809025040 is a wasteful number, since it uses less digits than its factorization.

8809025040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12234776 (or 12234767 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 8809025040 is about 93856.4064941760. The cubic root of 8809025040 is about 2065.2657753275.

The spelling of 8809025040 in words is "eight billion, eight hundred nine million, twenty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 12234757 24469514 36704271 48939028 61173785 73408542 97878056 110112813 122347570 146817084 183521355 195756112 220225626 244695140 293634168 367042710 440451252 489390280 550564065 587268336 734085420 880902504 978780560 1101128130 1468170840 1761805008 2202256260 2936341680 4404512520 8809025040