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5781328 = 247411259
BaseRepresentation
bin10110000011011101010000
3101212201111021
4112003131100
52440000303
6323525224
7100066120
oct26033520
911781437
105781328
113299663
121b29814
131275607
14aa6c80
15792ebd
hex583750

5781328 has 40 divisors (see below), whose sum is σ = 13124160. Its totient is φ = 2415360.

The previous prime is 5781323. The next prime is 5781331. The reversal of 5781328 is 8231875.

It is a d-powerful number, because it can be written as 5 + 78 + 82 + 1 + 32 + 214 + 82 .

It is a junction number, because it is equal to n+sod(n) for n = 5781293 and 5781302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5781323) 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, 3963 + ... + 5221.

It is an arithmetic number, because the mean of its divisors is an integer number (328104).

Almost surely, 25781328 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 5781328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6562080).

5781328 is an abundant number, since it is smaller than the sum of its proper divisors (7342832).

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

5781328 is a wasteful number, since it uses less digits than its factorization.

5781328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1315 (or 1309 counting only the distinct ones).

The product of its digits is 13440, while the sum is 34.

The square root of 5781328 is about 2404.4392277618. The cubic root of 5781328 is about 179.4771659566.

The spelling of 5781328 in words is "five million, seven hundred eighty-one thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 41 56 82 112 164 287 328 574 656 1148 1259 2296 2518 4592 5036 8813 10072 17626 20144 35252 51619 70504 103238 141008 206476 361333 412952 722666 825904 1445332 2890664 5781328