Search a number
-
+
813490848 = 25322824621
BaseRepresentation
bin110000011111001…
…110001010100000
32002200201121122200
4300133032022200
53131223201343
6212415533200
726105362302
oct6037161240
92080647580
10813490848
11388215795
121a852a200
13cc6c7641
147a07b972
154b63e4d3
hex307ce2a0

813490848 has 36 divisors (see below), whose sum is σ = 2313365418. Its totient is φ = 271163520.

The previous prime is 813490837. The next prime is 813490859. The reversal of 813490848 is 848094318.

813490848 is a `hidden beast` number, since 81 + 3 + 490 + 84 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (813490837) and next prime (813490859).

It can be written as a sum of positive squares in only one way, i.e., 497646864 + 315843984 = 22308^2 + 17772^2 .

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

It is an unprimeable number.

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, 1412023 + ... + 1412598.

Almost surely, 2813490848 is an apocalyptic number.

It is an amenable number.

813490848 is an abundant number, since it is smaller than the sum of its proper divisors (1499874570).

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

813490848 is a wasteful number, since it uses less digits than its factorization.

813490848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2824637 (or 2824626 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 813490848 is about 28521.7609554529. The cubic root of 813490848 is about 933.5069531885.

The spelling of 813490848 in words is "eight hundred thirteen million, four hundred ninety thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 2824621 5649242 8473863 11298484 16947726 22596968 25421589 33895452 45193936 50843178 67790904 90387872 101686356 135581808 203372712 271163616 406745424 813490848