Search a number
-
+
496896 = 283647
BaseRepresentation
bin1111001010100000000
3221020121120
41321110000
5111400041
614352240
74136451
oct1712400
9836546
10496896
1130a364
121bb680
1314522a
14cd128
159c366
hex79500

496896 has 36 divisors (see below), whose sum is σ = 1324512. Its totient is φ = 165376.

The previous prime is 496891. The next prime is 496897. The reversal of 496896 is 698694.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (496891) by changing a digit.

496896 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 445 + ... + 1091.

It is an arithmetic number, because the mean of its divisors is an integer number (36792).

2496896 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 496896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662256).

496896 is an abundant number, since it is smaller than the sum of its proper divisors (827616).

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

496896 is an equidigital number, since it uses as much as digits as its factorization.

496896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 652 counting only the distinct ones).

The product of its digits is 93312, while the sum is 42.

The square root of 496896 is about 704.9085047011. The cubic root of 496896 is about 79.2054684521.

The spelling of 496896 in words is "four hundred ninety-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 647 768 1294 1941 2588 3882 5176 7764 10352 15528 20704 31056 41408 62112 82816 124224 165632 248448 496896