Search a number
-
+
9338406048 = 253232425021
BaseRepresentation
bin10001011001001110…
…01100010010100000
3220002210212011211200
420230213030102200
5123111112443143
64142350241200
7450262066416
oct105447142240
926083764750
109338406048
113a62317754
1219874b6200
13b5a90726a
146483452b6
15399c751d3
hex22c9cc4a0

9338406048 has 36 divisors (see below), whose sum is σ = 26556093018. Its totient is φ = 3112801920.

The previous prime is 9338406043. The next prime is 9338406059. The reversal of 9338406048 is 8406048339.

9338406048 is a `hidden beast` number, since 9 + 3 + 38 + 4 + 0 + 604 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6423701904 + 2914704144 = 80148^2 + 53988^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 9338405994 and 9338406012.

It is not an unprimeable number, because it can be changed into a prime (9338406043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16212223 + ... + 16212798.

Almost surely, 29338406048 is an apocalyptic number.

It is an amenable number.

9338406048 is an abundant number, since it is smaller than the sum of its proper divisors (17217686970).

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

9338406048 is a wasteful number, since it uses less digits than its factorization.

9338406048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32425037 (or 32425026 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 9338406048 is about 96635.4285342596. The cubic root of 9338406048 is about 2105.8345716818.

The spelling of 9338406048 in words is "nine billion, three hundred thirty-eight million, four hundred six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 32425021 64850042 97275063 129700084 194550126 259400168 291825189 389100252 518800336 583650378 778200504 1037600672 1167300756 1556401008 2334601512 3112802016 4669203024 9338406048