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6448228446 = 23111018771103
BaseRepresentation
bin1100000000101100…
…00010100001011110
3121122101110221111210
412000112002201132
5101201221302241
62543503525250
7315536015562
oct60026024136
917571427453
106448228446
112809947520
1212bb5b9826
137b9bc52ba
144525696a2
1527b176316
hex18058285e

6448228446 has 64 divisors (see below), whose sum is σ = 14237254656. Its totient is φ = 1930704000.

The previous prime is 6448228427. The next prime is 6448228447.

6448228446 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 6448228395 and 6448228404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6448228447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5845531 + ... + 5846633.

It is an arithmetic number, because the mean of its divisors is an integer number (222457104).

Almost surely, 26448228446 is an apocalyptic number.

6448228446 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6448228446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7118627328).

6448228446 is an abundant number, since it is smaller than the sum of its proper divisors (7789026210).

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

6448228446 is a wasteful number, since it uses less digits than its factorization.

6448228446 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2097.

The product of its digits is 2359296, while the sum is 48.

The square root of 6448228446 is about 80300.8620501673. The cubic root of 6448228446 is about 1861.2875470640.

The spelling of 6448228446 in words is "six billion, four hundred forty-eight million, two hundred twenty-eight thousand, four hundred forty-six".

Divisors: 1 2 3 6 11 22 33 66 101 202 303 606 877 1103 1111 1754 2206 2222 2631 3309 3333 5262 6618 6666 9647 12133 19294 24266 28941 36399 57882 72798 88577 111403 177154 222806 265731 334209 531462 668418 967331 974347 1225433 1934662 1948694 2450866 2901993 2923041 3676299 5803986 5846082 7352598 10640641 21281282 31921923 63843846 97700431 195400862 293101293 586202586 1074704741 2149409482 3224114223 6448228446