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284148 = 2234877
BaseRepresentation
bin1000101010111110100
3112102210000
41011113310
533043043
610031300
72262264
oct1052764
9472700
10284148
11184537
12118530
139c447
14757a4
15592d3
hex455f4

284148 has 30 divisors (see below), whose sum is σ = 743666. Its totient is φ = 94608.

The previous prime is 284131. The next prime is 284149. The reversal of 284148 is 841482.

It can be written as a sum of positive squares in only one way, i.e., 272484 + 11664 = 522^2 + 108^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 284148.

It is not an unprimeable number, because it can be changed into a prime (284149) by changing a digit.

284148 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 9 ways as a sum of consecutive naturals, for example, 115 + ... + 762.

2284148 is an apocalyptic number.

It is an amenable number.

284148 is an abundant number, since it is smaller than the sum of its proper divisors (459518).

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

284148 is a wasteful number, since it uses less digits than its factorization.

284148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893 (or 882 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 284148 is about 533.0553442186. The cubic root of 284148 is about 65.7428006594.

The spelling of 284148 in words is "two hundred eighty-four thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 877 1754 2631 3508 5262 7893 10524 15786 23679 31572 47358 71037 94716 142074 284148