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285048 = 233237107
BaseRepresentation
bin1000101100101111000
3112111000100
41011211320
533110143
610035400
72265021
oct1054570
9474010
10285048
11185185
12118b60
139c98a
1475c48
15596d3
hex45978

285048 has 48 divisors (see below), whose sum is σ = 800280. Its totient is φ = 91584.

The previous prime is 285031. The next prime is 285049. The reversal of 285048 is 840582.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 285048.

It is not an unprimeable number, because it can be changed into a prime (285049) by changing a digit.

285048 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2611 + ... + 2717.

2285048 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 285048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400140).

285048 is an abundant number, since it is smaller than the sum of its proper divisors (515232).

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

285048 is a wasteful number, since it uses less digits than its factorization.

285048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 285048 is about 533.8988668278. The cubic root of 285048 is about 65.8121379541.

The spelling of 285048 in words is "two hundred eighty-five thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 107 111 148 214 222 296 321 333 428 444 642 666 856 888 963 1284 1332 1926 2568 2664 3852 3959 7704 7918 11877 15836 23754 31672 35631 47508 71262 95016 142524 285048