Search a number
-
+
4785040233 = 328934917117
BaseRepresentation
bin1000111010011010…
…11110101101101001
3110100110220020012100
410131031132231221
534244432241413
62110452004013
7226402112421
oct43515365551
913313806170
104785040233
112036037606
12b16600609
135b346736c
14335707481
151d0144a73
hex11d35eb69

4785040233 has 24 divisors (see below), whose sum is σ = 7009821000. Its totient is φ = 3144962304.

The previous prime is 4785040217. The next prime is 4785040279. The reversal of 4785040233 is 3320405874.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3732624 + 4781307609 = 1932^2 + 69147^2 .

It is not a de Polignac number, because 4785040233 - 24 = 4785040217 is a prime.

It is a super-2 number, since 2×47850402332 = 45793220062857388578, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4785040213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 270991 + ... + 288107.

It is an arithmetic number, because the mean of its divisors is an integer number (292075875).

Almost surely, 24785040233 is an apocalyptic number.

It is an amenable number.

4785040233 is a deficient number, since it is larger than the sum of its proper divisors (2224780767).

4785040233 is a wasteful number, since it uses less digits than its factorization.

4785040233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17561 (or 17558 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 4785040233 is about 69173.9852328894. The cubic root of 4785040233 is about 1685.1110685297. Note that the first 3 decimals are identical.

The spelling of 4785040233 in words is "four billion, seven hundred eighty-five million, forty thousand, two hundred thirty-three".

Divisors: 1 3 9 89 267 349 801 1047 3141 17117 31061 51351 93183 154053 279549 1523413 4570239 5973833 13710717 17921499 53764497 531671137 1595013411 4785040233