Search a number
-
+
813816948 = 22379688297
BaseRepresentation
bin110000100000011…
…101110001110100
32002201100011222110
4300200131301310
53131314120243
6212430531020
726111221110
oct6040356164
92081304873
10813816948
1138841879a
121a8666a70
13cc7acbb9
147a124740
154b6a5e33
hex3081dc74

813816948 has 24 divisors (see below), whose sum is σ = 2170178752. Its totient is φ = 232519104.

The previous prime is 813816947. The next prime is 813816953. The reversal of 813816948 is 849618318.

It is a junction number, because it is equal to n+sod(n) for n = 813816897 and 813816906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (813816947) 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 7 ways as a sum of consecutive naturals, for example, 4844065 + ... + 4844232.

Almost surely, 2813816948 is an apocalyptic number.

It is an amenable number.

813816948 is an abundant number, since it is smaller than the sum of its proper divisors (1356361804).

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

813816948 is a wasteful number, since it uses less digits than its factorization.

813816948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9688311 (or 9688309 counting only the distinct ones).

The product of its digits is 331776, while the sum is 48.

The square root of 813816948 is about 28527.4770703615. The cubic root of 813816948 is about 933.6316732763.

The spelling of 813816948 in words is "eight hundred thirteen million, eight hundred sixteen thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 9688297 19376594 29064891 38753188 58129782 67818079 116259564 135636158 203454237 271272316 406908474 813816948