Base | Representation |
---|---|
bin | 11101101001101… |
… | …100010000000000 |
3 | 1021200002000101011 |
4 | 131221230100000 |
5 | 2004322442131 |
6 | 121210250304 |
7 | 15220261144 |
oct | 3551542000 |
9 | 1250060334 |
10 | 497468416 |
11 | 235898425 |
12 | 11a726994 |
13 | 7c0a9a13 |
14 | 4a0d7224 |
15 | 2da180b1 |
hex | 1da6c400 |
497468416 has 99 divisors (see below), whose sum is σ = 1082783167. Its totient is φ = 228392960.
The previous prime is 497468383. The next prime is 497468423. The reversal of 497468416 is 614864794.
The square root of 497468416 is 22304.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in 4 ways, for example, as 35046400 + 462422016 = 5920^2 + 21504^2 .
It is a Duffinian number.
It is a self number, because there is not a number n which added to its sum of digits gives 497468416.
It is an unprimeable number.
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 8 ways as a sum of consecutive naturals, for example, 12133356 + ... + 12133396.
Almost surely, 2497468416 is an apocalyptic number.
497468416 is the 22304-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 497468416
497468416 is an abundant number, since it is smaller than the sum of its proper divisors (585314751).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
497468416 is an equidigital number, since it uses as much as digits as its factorization.
497468416 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 136 (or 60 counting only the distinct ones).
The product of its digits is 1161216, while the sum is 49.
The cubic root of 497468416 is about 792.3587124522.
Multiplying 497468416 by its sum of digits (49), we get a square (24375952384 = 1561282).
The spelling of 497468416 in words is "four hundred ninety-seven million, four hundred sixty-eight thousand, four hundred sixteen".
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