Search a number
-
+
492032 = 29312
BaseRepresentation
bin1111000001000000000
3220222221102
41320020000
5111221112
614313532
74116332
oct1701000
9828842
10492032
11306742
121b88a8
13142c58
14cb452
159abc2
hex78200

492032 has 30 divisors (see below), whose sum is σ = 1015839. Its totient is φ = 238080.

The previous prime is 492029. The next prime is 492047. The reversal of 492032 is 230294.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 246016 + 246016 = 496^2 + 496^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=496.

It is a junction number, because it is equal to n+sod(n) for n = 491995 and 492013.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 492032.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 15857 + ... + 15887.

2492032 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 492032

492032 is an abundant number, since it is smaller than the sum of its proper divisors (523807).

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

492032 is an frugal number, since it uses more digits than its factorization.

492032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 492032 is about 701.4499269371. The cubic root of 492032 is about 78.9461792258.

The spelling of 492032 in words is "four hundred ninety-two thousand, thirty-two".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 496 512 961 992 1922 1984 3844 3968 7688 7936 15376 15872 30752 61504 123008 246016 492032