Base | Representation |
---|---|
bin | 11101100100111… |
… | …110101100000000 |
3 | 1021120202021000000 |
4 | 131210332230000 |
5 | 2004013430331 |
6 | 121124000000 |
7 | 15203625033 |
oct | 3544765400 |
9 | 1246667000 |
10 | 496233216 |
11 | 2351243a6 |
12 | 11a230000 |
13 | 7ba6672b |
14 | 49c9501a |
15 | 2d8720e6 |
hex | 1d93eb00 |
496233216 has 126 divisors (see below), whose sum is σ = 1485671180. Its totient is φ = 165348864.
The previous prime is 496233187. The next prime is 496233229. The reversal of 496233216 is 612332694.
496233216 is a `hidden beast` number, since 4 + 9 + 623 + 3 + 21 + 6 = 666.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.
It is an unprimeable number.
It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 185295 + ... + 187953.
Almost surely, 2496233216 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 496233216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742835590).
496233216 is an abundant number, since it is smaller than the sum of its proper divisors (989437964).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
496233216 is an frugal number, since it uses more digits than its factorization.
496233216 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2693 (or 2664 counting only the distinct ones).
The product of its digits is 46656, while the sum is 36.
The square root of 496233216 is about 22276.2926897633. The cubic root of 496233216 is about 791.7023675030.
The spelling of 496233216 in words is "four hundred ninety-six million, two hundred thirty-three thousand, two hundred sixteen".
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