Search a number
-
+
5853216 = 253193209
BaseRepresentation
bin10110010101000000100000
3102000101002210
4112111000200
52444300331
6325242120
7100515525
oct26250040
912011083
105853216
113338676
121b63340
13129c255
14ac514c
157a9446
hex595020

5853216 has 48 divisors (see below), whose sum is σ = 16178400. Its totient is φ = 1847808.

The previous prime is 5853173. The next prime is 5853217. The reversal of 5853216 is 6123585.

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

It is not an unprimeable number, because it can be changed into a prime (5853217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 220 + ... + 3428.

It is an arithmetic number, because the mean of its divisors is an integer number (337050).

Almost surely, 25853216 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 5853216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8089200).

5853216 is an abundant number, since it is smaller than the sum of its proper divisors (10325184).

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

5853216 is a wasteful number, since it uses less digits than its factorization.

5853216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3241 (or 3233 counting only the distinct ones).

The product of its digits is 7200, while the sum is 30.

The square root of 5853216 is about 2419.3420593211. The cubic root of 5853216 is about 180.2180074581.

The spelling of 5853216 in words is "five million, eight hundred fifty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 3209 6418 9627 12836 19254 25672 38508 51344 60971 77016 102688 121942 154032 182913 243884 308064 365826 487768 731652 975536 1463304 1951072 2926608 5853216