Base | Representation |
---|---|
bin | 11101100101011… |
… | …111111010010000 |
3 | 1021121000011200000 |
4 | 131211133322100 |
5 | 2004032304141 |
6 | 121130530000 |
7 | 15205032543 |
oct | 3545377220 |
9 | 1247004600 |
10 | 496369296 |
11 | 235207665 |
12 | 11a296900 |
13 | 7bab3657 |
14 | 49ccc85a |
15 | 2d89c5b6 |
hex | 1d95fe90 |
496369296 has 120 divisors (see below), whose sum is σ = 1474593120. Its totient is φ = 161554176.
The previous prime is 496369283. The next prime is 496369297. The reversal of 496369296 is 692963694.
496369296 is a `hidden beast` number, since 496 + 3 + 69 + 2 + 96 = 666.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a nude number because it is divisible by every one of its digits.
It is an alternating number because its digits alternate between even and odd.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (496369297) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165700 + ... + 168668.
It is an arithmetic number, because the mean of its divisors is an integer number (12288276).
Almost surely, 2496369296 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 496369296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737296560).
496369296 is an abundant number, since it is smaller than the sum of its proper divisors (978223824).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
496369296 is a wasteful number, since it uses less digits than its factorization.
496369296 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3035 (or 3017 counting only the distinct ones).
The product of its digits is 3779136, while the sum is 54.
The square root of 496369296 is about 22279.3468485950. The cubic root of 496369296 is about 791.7747293202.
The spelling of 496369296 in words is "four hundred ninety-six million, three hundred sixty-nine thousand, two hundred ninety-six".
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