Search a number
-
+
8198464 = 26532417
BaseRepresentation
bin11111010001100101000000
3120102112011211
4133101211000
54044322324
6451415504
7126454141
oct37214500
916375154
108198464
11469a69a
1228b4594
131910881
141135ac8
15abe294
hex7d1940

8198464 has 28 divisors (see below), whose sum is σ = 16582644. Its totient is φ = 4020224.

The previous prime is 8198459. The next prime is 8198467. The reversal of 8198464 is 4648918.

8198464 = T292 + T293 + ... + T419.

It can be written as a sum of positive squares in 2 ways, for example, as 7182400 + 1016064 = 2680^2 + 1008^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8198467) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2184 + ... + 4600.

Almost surely, 28198464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8198464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8291322).

8198464 is an abundant number, since it is smaller than the sum of its proper divisors (8384180).

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

8198464 is a wasteful number, since it uses less digits than its factorization.

8198464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2482 (or 2472 counting only the distinct ones).

The product of its digits is 55296, while the sum is 40.

The square root of 8198464 is about 2863.2960028610. The cubic root of 8198464 is about 201.6403757210.

The spelling of 8198464 in words is "eight million, one hundred ninety-eight thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 53 64 106 212 424 848 1696 2417 3392 4834 9668 19336 38672 77344 128101 154688 256202 512404 1024808 2049616 4099232 8198464