Base | Representation |
---|---|
bin | 11101100110101… |
… | …001101000100000 |
3 | 1021121120111220000 |
4 | 131212221220200 |
5 | 2004121440024 |
6 | 121141220000 |
7 | 15210431115 |
oct | 3546515040 |
9 | 1247514800 |
10 | 496671264 |
11 | 2353a3521 |
12 | 11a401600 |
13 | 7bb8ac2b |
14 | 49d6a90c |
15 | 2d90bcc9 |
hex | 1d9a9a20 |
496671264 has 120 divisors (see below), whose sum is σ = 1477794780. Its totient is φ = 163620864.
The previous prime is 496671257. The next prime is 496671299. The reversal of 496671264 is 462176694.
It can be written as a sum of positive squares in 2 ways, for example, as 413715600 + 82955664 = 20340^2 + 9108^2 .
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 229612 + ... + 231764.
Almost surely, 2496671264 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 496671264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738897390).
496671264 is an abundant number, since it is smaller than the sum of its proper divisors (981123516).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
496671264 is a wasteful number, since it uses less digits than its factorization.
496671264 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2264 (or 2247 counting only the distinct ones).
The product of its digits is 435456, while the sum is 45.
The square root of 496671264 is about 22286.1226775767. The cubic root of 496671264 is about 791.9352564155.
The spelling of 496671264 in words is "four hundred ninety-six million, six hundred seventy-one thousand, two hundred sixty-four".
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