Search a number
-
+
5828448 = 253109557
BaseRepresentation
bin10110001110111101100000
3101222010010110
4112032331200
52443002243
6324531320
7100353363
oct26167540
911863113
105828448
113320aaa
121b50b40
131290bb2
14aba0da
157a1e33
hex58ef60

5828448 has 48 divisors (see below), whose sum is σ = 15467760. Its totient is φ = 1921536.

The previous prime is 5828447. The next prime is 5828479. The reversal of 5828448 is 8448285.

5828448 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5828441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10186 + ... + 10742.

It is an arithmetic number, because the mean of its divisors is an integer number (322245).

Almost surely, 25828448 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 5828448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7733880).

5828448 is an abundant number, since it is smaller than the sum of its proper divisors (9639312).

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

5828448 is a wasteful number, since it uses less digits than its factorization.

5828448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 671 counting only the distinct ones).

The product of its digits is 81920, while the sum is 39.

The square root of 5828448 is about 2414.2178857758. The cubic root of 5828448 is about 179.9634493687.

The spelling of 5828448 in words is "five million, eight hundred twenty-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 109 218 327 436 557 654 872 1114 1308 1671 1744 2228 2616 3342 3488 4456 5232 6684 8912 10464 13368 17824 26736 53472 60713 121426 182139 242852 364278 485704 728556 971408 1457112 1942816 2914224 5828448