Search a number
-
+
5984416 = 252347173
BaseRepresentation
bin10110110101000010100000
3102021001002001
4112311002200
53013000131
6332133344
7101603164
oct26650240
912231061
105984416
1134181a9
122007254
131316b99
14b1aca4
157d3261
hex5b50a0

5984416 has 48 divisors (see below), whose sum is σ = 12628224. Its totient is φ = 2785024.

The previous prime is 5984399. The next prime is 5984453. The reversal of 5984416 is 6144895.

It is a happy number.

It is a super-2 number, since 2×59844162 = 71626469722112, which contains 22 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

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, 34506 + ... + 34678.

It is an arithmetic number, because the mean of its divisors is an integer number (263088).

Almost surely, 25984416 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 5984416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6314112).

5984416 is an abundant number, since it is smaller than the sum of its proper divisors (6643808).

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

5984416 is a wasteful number, since it uses less digits than its factorization.

5984416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 245 counting only the distinct ones).

The product of its digits is 34560, while the sum is 37.

The square root of 5984416 is about 2446.3066038418. The cubic root of 5984416 is about 181.5546006173.

It can be divided in two parts, 5984 and 416, that added together give a square (6400 = 802).

The spelling of 5984416 in words is "five million, nine hundred eighty-four thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 23 32 46 47 92 94 173 184 188 346 368 376 692 736 752 1081 1384 1504 2162 2768 3979 4324 5536 7958 8131 8648 15916 16262 17296 31832 32524 34592 63664 65048 127328 130096 187013 260192 374026 748052 1496104 2992208 5984416