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493332 = 22372839
BaseRepresentation
bin1111000011100010100
3221001201120
41320130110
5111241312
614323540
74123200
oct1703424
9831646
10493332
11307714
121b95b0
13143718
14cbb00
159b28c
hex78714

493332 has 36 divisors (see below), whose sum is σ = 1340640. Its totient is φ = 140784.

The previous prime is 493313. The next prime is 493333. The reversal of 493332 is 233394.

493332 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 14.

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 493332.

It is not an unprimeable number, because it can be changed into a prime (493333) by changing a digit.

493332 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, 169 + ... + 1007.

It is an arithmetic number, because the mean of its divisors is an integer number (37240).

2493332 is an apocalyptic number.

493332 is a gapful number since it is divisible by the number (42) 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 493332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670320).

493332 is an abundant number, since it is smaller than the sum of its proper divisors (847308).

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

493332 is a wasteful number, since it uses less digits than its factorization.

493332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 851 counting only the distinct ones).

The product of its digits is 1944, while the sum is 24.

The square root of 493332 is about 702.3759676982. The cubic root of 493332 is about 79.0156461026.

The spelling of 493332 in words is "four hundred ninety-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 839 1678 2517 3356 5034 5873 10068 11746 17619 23492 35238 41111 70476 82222 123333 164444 246666 493332