Search a number
-
+
8785125441 = 3215721992
BaseRepresentation
bin10000010111010001…
…00110000001000001
3211200020202121112100
420023220212001001
5120442443003231
64011423421013
7430463222421
oct101350460101
924606677470
108785125441
1137a8a79854
121852154769
13aa00b87a1
145d4a80481
153663d51e6
hex20ba26041

8785125441 has 27 divisors (see below), whose sum is σ = 12835464291. Its totient is φ = 5790202704.

The previous prime is 8785125403. The next prime is 8785125443. The reversal of 8785125441 is 1445215878.

The square root of 8785125441 is 93729.

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

8785125441 is a `hidden beast` number, since 8 + 7 + 85 + 125 + 441 = 666.

8785125441 is digitally balanced in base 3, 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 only one way, i.e., 2575055025 + 6210070416 = 50745^2 + 78804^2 .

It is a de Polignac number, because none of the positive numbers 2k-8785125441 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (8785125443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 44146260 + ... + 44146458.

Almost surely, 28785125441 is an apocalyptic number.

8785125441 is the 93729-th square number.

8785125441 is the 46865-th centered octagonal number.

It is an amenable number.

8785125441 is a deficient number, since it is larger than the sum of its proper divisors (4050338850).

8785125441 is an equidigital number, since it uses as much as digits as its factorization.

8785125441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 359 counting only the distinct ones).

The product of its digits is 358400, while the sum is 45.

The cubic root of 8785125441 is about 2063.3963391761.

The spelling of 8785125441 in words is "eight billion, seven hundred eighty-five million, one hundred twenty-five thousand, four hundred forty-one".

Divisors: 1 3 9 157 199 471 597 1413 1791 24649 31243 39601 73947 93729 118803 221841 281187 356409 4905151 6217357 14715453 18652071 44146359 55956213 976125049 2928375147 8785125441