Base | Representation |
---|---|
bin | 11101101000010… |
… | …101001001000000 |
3 | 1021122101212221100 |
4 | 131220111021000 |
5 | 2004230032431 |
6 | 121154454400 |
7 | 15214244001 |
oct | 3550251100 |
9 | 1248355840 |
10 | 497111616 |
11 | 235674351 |
12 | 11a594400 |
13 | 7bcb34b1 |
14 | 4a0431a8 |
15 | 2d9974e6 |
hex | 1da15240 |
497111616 has 63 divisors (see below), whose sum is σ = 1426416121. Its totient is φ = 165525504.
The previous prime is 497111609. The next prime is 497111617. The reversal of 497111616 is 616111794.
The square root of 497111616 is 22296.
It is a perfect power (a square), and thus also a powerful number.
497111616 is a `hidden beast` number, since 497 + 1 + 1 + 161 + 6 = 666.
It can be written as a sum of positive squares in only one way, i.e., 9585216 + 487526400 = 3096^2 + 22080^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (497111617) 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 8 ways as a sum of consecutive naturals, for example, 534640 + ... + 535568.
Almost surely, 2497111616 is an apocalyptic number.
497111616 is the 22296-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 497111616
497111616 is an abundant number, since it is smaller than the sum of its proper divisors (929304505).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
497111616 is an frugal number, since it uses more digits than its factorization.
497111616 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1876 (or 934 counting only the distinct ones).
The product of its digits is 9072, while the sum is 36.
The cubic root of 497111616 is about 792.1692322784.
Multiplying 497111616 by its sum of digits (36), we get a square (17896018176 = 1337762).
497111616 divided by its sum of digits (36) gives a square (13808656 = 37162).
The spelling of 497111616 in words is "four hundred ninety-seven million, one hundred eleven thousand, six hundred sixteen".
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