Search a number
-
+
8244466468 = 2274161117731
BaseRepresentation
bin1111010110110100…
…01001001100100100
3210021120102021211221
413223122021030210
5113341040411333
63442031310124
7411206544250
oct75332111444
923246367757
108244466468
113550871757
12172107b344
13a15098c34
14582d43260
15333bd9d2d
hex1eb689324

8244466468 has 48 divisors (see below), whose sum is σ = 17168151168. Its totient is φ = 3390624000.

The previous prime is 8244466459. The next prime is 8244466469. The reversal of 8244466468 is 8646644428.

It is not an unprimeable number, because it can be changed into a prime (8244466469) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11163 + ... + 128893.

It is an arithmetic number, because the mean of its divisors is an integer number (357669816).

Almost surely, 28244466468 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 8244466468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8584075584).

8244466468 is an abundant number, since it is smaller than the sum of its proper divisors (8923684700).

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

8244466468 is a wasteful number, since it uses less digits than its factorization.

8244466468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117844 (or 117842 counting only the distinct ones).

The product of its digits is 7077888, while the sum is 52.

The square root of 8244466468 is about 90799.0444222845. The cubic root of 8244466468 is about 2020.1681450072.

The spelling of 8244466468 in words is "eight billion, two hundred forty-four million, four hundred sixty-six thousand, four hundred sixty-eight".

Divisors: 1 2 4 7 14 28 41 61 82 122 164 244 287 427 574 854 1148 1708 2501 5002 10004 17507 35014 70028 117731 235462 470924 824117 1648234 3296468 4826971 7181591 9653942 14363182 19307884 28726364 33788797 50271137 67577594 100542274 135155188 201084548 294445231 588890462 1177780924 2061116617 4122233234 8244466468