| Base | Representation |
|---|---|
| bin | 11101100100111… |
| … | …100000001000000 |
| 3 | 1021120201200222200 |
| 4 | 131210330001000 |
| 5 | 2004013103042 |
| 6 | 121123433200 |
| 7 | 15203551110 |
| oct | 3544740100 |
| 9 | 1246650880 |
| 10 | 496222272 |
| 11 | 235117157 |
| 12 | 11a225800 |
| 13 | 7ba61760 |
| 14 | 49c91040 |
| 15 | 2d86dc4c |
| hex | 1d93c040 |
496222272 has 168 divisors, whose sum is σ = 1750746816. Its totient is φ = 130857984.
The previous prime is 496222271. The next prime is 496222283. The reversal of 496222272 is 272222694.
496222272 is a `hidden beast` number, since 4 + 9 + 622 + 2 + 27 + 2 = 666.
It is a tau number, because it is divible by the number of its divisors (168).
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.
It is not an unprimeable number, because it can be changed into a prime (496222271) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47683 + ... + 57149.
It is an arithmetic number, because the mean of its divisors is an integer number (10421112).
Almost surely, 2496222272 is an apocalyptic number.
496222272 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 496222272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875373408).
496222272 is an abundant number, since it is smaller than the sum of its proper divisors (1254524544).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
496222272 is a wasteful number, since it uses less digits than its factorization.
496222272 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9505 (or 9492 counting only the distinct ones).
The product of its digits is 48384, while the sum is 36.
The square root of 496222272 is about 22276.0470460986. The cubic root of 496222272 is about 791.6965473535.
The spelling of 496222272 in words is "four hundred ninety-six million, two hundred twenty-two thousand, two hundred seventy-two".
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