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285152 = 2571967
BaseRepresentation
bin1000101100111100000
3112111011012
41011213200
533111102
610040052
72265230
oct1054740
9474135
10285152
1118526a
12119028
139ca3a
1475cc0
1559752
hex459e0

285152 has 48 divisors (see below), whose sum is σ = 685440. Its totient is φ = 114048.

The previous prime is 285151. The next prime is 285161. The reversal of 285152 is 251582.

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 285152.

It is not an unprimeable number, because it can be changed into a prime (285151) 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, 4223 + ... + 4289.

It is an arithmetic number, because the mean of its divisors is an integer number (14280).

2285152 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 285152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342720).

285152 is an abundant number, since it is smaller than the sum of its proper divisors (400288).

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

285152 is a wasteful number, since it uses less digits than its factorization.

285152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 95 counting only the distinct ones).

The product of its digits is 800, while the sum is 23.

The square root of 285152 is about 533.9962546685. The cubic root of 285152 is about 65.8201408520.

The spelling of 285152 in words is "two hundred eighty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 67 76 112 133 134 152 224 266 268 304 469 532 536 608 938 1064 1072 1273 1876 2128 2144 2546 3752 4256 5092 7504 8911 10184 15008 17822 20368 35644 40736 71288 142576 285152