Search a number
-
+
6048224 = 257133167
BaseRepresentation
bin10111000100100111100000
3102101021121022
4113010213200
53022020344
6333345012
7102260210
oct27044740
912337538
106048224
113461136
122038168
131339c40
14b36240
157e70ee
hex5c49e0

6048224 has 96 divisors (see below), whose sum is σ = 15353856. Its totient is φ = 2280960.

The previous prime is 6048221. The next prime is 6048233. The reversal of 6048224 is 4228406.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 6048193 and 6048202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6048221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90239 + ... + 90305.

It is an arithmetic number, because the mean of its divisors is an integer number (159936).

Almost surely, 26048224 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 6048224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7676928).

6048224 is an abundant number, since it is smaller than the sum of its proper divisors (9305632).

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

6048224 is a wasteful number, since it uses less digits than its factorization.

6048224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 6048224 is about 2459.3137254120. The cubic root of 6048224 is about 182.1975876099.

It can be divided in two parts, 60482 and 24, that added together give a palindrome (60506).

The spelling of 6048224 in words is "six million, forty-eight thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 31 32 52 56 62 67 91 104 112 124 134 182 208 217 224 248 268 364 403 416 434 469 496 536 728 806 868 871 938 992 1072 1456 1612 1736 1742 1876 2077 2144 2821 2912 3224 3472 3484 3752 4154 5642 6097 6448 6944 6968 7504 8308 11284 12194 12896 13936 14539 15008 16616 22568 24388 27001 27872 29078 33232 45136 48776 54002 58156 66464 90272 97552 108004 116312 189007 195104 216008 232624 378014 432016 465248 756028 864032 1512056 3024112 6048224