Search a number
-
+
5084320 = 25543739
BaseRepresentation
bin10011011001010010100000
3100120022101011
4103121102200
52300144240
6300550304
761134043
oct23312240
910508334
105084320
112962a1a
121852394
131090297
14964c5a
156a66ea
hex4d94a0

5084320 has 48 divisors (see below), whose sum is σ = 12307680. Its totient is φ = 1983744.

The previous prime is 5084269. The next prime is 5084333. The reversal of 5084320 is 234805.

It is a junction number, because it is equal to n+sod(n) for n = 5084291 and 5084300.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6511 + ... + 7249.

It is an arithmetic number, because the mean of its divisors is an integer number (256410).

Almost surely, 25084320 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 5084320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6153840).

5084320 is an abundant number, since it is smaller than the sum of its proper divisors (7223360).

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

5084320 is a wasteful number, since it uses less digits than its factorization.

5084320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 5084320 is about 2254.8436752910. The cubic root of 5084320 is about 171.9534757889.

The spelling of 5084320 in words is "five million, eighty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 80 86 160 172 215 344 430 688 739 860 1376 1478 1720 2956 3440 3695 5912 6880 7390 11824 14780 23648 29560 31777 59120 63554 118240 127108 158885 254216 317770 508432 635540 1016864 1271080 2542160 5084320