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284896 = 2529307
BaseRepresentation
bin1000101100011100000
3112110210201
41011203200
533104041
610034544
72264413
oct1054340
9473721
10284896
11185057
12118a54
139c8a1
1475b7a
1559631
hex458e0

284896 has 24 divisors (see below), whose sum is σ = 582120. Its totient is φ = 137088.

The previous prime is 284881. The next prime is 284897. The reversal of 284896 is 698482.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284897) 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 3 ways as a sum of consecutive naturals, for example, 775 + ... + 1081.

It is an arithmetic number, because the mean of its divisors is an integer number (24255).

2284896 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 284896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291060).

284896 is an abundant number, since it is smaller than the sum of its proper divisors (297224).

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

284896 is a wasteful number, since it uses less digits than its factorization.

284896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 338 counting only the distinct ones).

The product of its digits is 27648, while the sum is 37.

The square root of 284896 is about 533.7564987895. The cubic root of 284896 is about 65.8004379088.

The spelling of 284896 in words is "two hundred eighty-four thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 29 32 58 116 232 307 464 614 928 1228 2456 4912 8903 9824 17806 35612 71224 142448 284896