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6048 = 25337
BaseRepresentation
bin1011110100000
322022000
41132200
5143143
644000
723430
oct13640
98260
106048
1145a9
123600
1329a3
1422c0
151bd3
hex17a0

6048 has 48 divisors (see below), whose sum is σ = 20160. Its totient is φ = 1728.

The previous prime is 6047. The next prime is 6053. The reversal of 6048 is 8406.

6048 = 43 + 53 + ... + 123.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 6048.

It is not an unprimeable number, because it can be changed into a prime (6043) 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, 861 + ... + 867.

It is an arithmetic number, because the mean of its divisors is an integer number (420).

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10080).

6048 is an abundant number, since it is smaller than the sum of its proper divisors (14112).

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

6048 is a wasteful number, since it uses less digits than its factorization.

6048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 6048 is about 77.7688883809. The cubic root of 6048 is about 18.2195338313.

The spelling of 6048 in words is "six thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 6048