Search a number
-
+
493284 = 2231137101
BaseRepresentation
bin1111000011011100100
3221001122210
41320123210
5111241114
614323420
74123101
oct1703344
9831583
10493284
11307680
121b9570
131436ac
14cbaa8
159b259
hex786e4

493284 has 48 divisors (see below), whose sum is σ = 1302336. Its totient is φ = 144000.

The previous prime is 493279. The next prime is 493291. The reversal of 493284 is 482394.

It is a happy number.

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

493284 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 15 ways as a sum of consecutive naturals, for example, 4834 + ... + 4934.

It is an arithmetic number, because the mean of its divisors is an integer number (27132).

2493284 is an apocalyptic number.

493284 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 493284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651168).

493284 is an abundant number, since it is smaller than the sum of its proper divisors (809052).

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

493284 is a wasteful number, since it uses less digits than its factorization.

493284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 154 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 493284 is about 702.3417971330. The cubic root of 493284 is about 79.0130833429.

It can be divided in two parts, 493 and 284, that added together give a palindrome (777).

The spelling of 493284 in words is "four hundred ninety-three thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 101 111 132 148 202 222 303 404 407 444 606 814 1111 1212 1221 1628 2222 2442 3333 3737 4444 4884 6666 7474 11211 13332 14948 22422 41107 44844 82214 123321 164428 246642 493284