Search a number
-
+
3785817841 = 13247332
BaseRepresentation
bin1110000110100110…
…1111111011110001
3100202211200110202121
43201221233323301
530223132132331
61423355114241
7162546630541
oct34151577361
910684613677
103785817841
111672aa4a83
12897a42981
13484440100
1427cb1d321
15172568c11
hexe1a6fef1

3785817841 has 9 divisors (see below), whose sum is σ = 4100302209. Its totient is φ = 3493862736.

The previous prime is 3785817817. The next prime is 3785817853. The reversal of 3785817841 is 1487185873.

The square root of 3785817841 is 61529.

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

3785817841 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 4 ways, for example, as 1724657841 + 2061160000 = 41529^2 + 45400^2 .

It is not a de Polignac number, because 3785817841 - 25 = 3785817809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3785815841) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 797511 + ... + 802243.

Almost surely, 23785817841 is an apocalyptic number.

3785817841 is the 61529-th square number.

3785817841 is the 30765-th centered octagonal number.

It is an amenable number.

3785817841 is a deficient number, since it is larger than the sum of its proper divisors (314484368).

3785817841 is an frugal number, since it uses more digits than its factorization.

3785817841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9492 (or 4746 counting only the distinct ones).

The product of its digits is 1505280, while the sum is 52.

The cubic root of 3785817841 is about 1558.5470035692.

The spelling of 3785817841 in words is "three billion, seven hundred eighty-five million, eight hundred seventeen thousand, eight hundred forty-one".

Divisors: 1 13 169 4733 61529 799877 22401289 291216757 3785817841