| Base | Representation |
|---|---|
| bin | 11101100101010… |
| … | …000001000000000 |
| 3 | 1021120212212222100 |
| 4 | 131211100020000 |
| 5 | 2004023222030 |
| 6 | 121125310400 |
| 7 | 15204343206 |
| oct | 3545201000 |
| 9 | 1246785870 |
| 10 | 496304640 |
| 11 | 235173027 |
| 12 | 11a265400 |
| 13 | 7ba900b0 |
| 14 | 49cb3076 |
| 15 | 2d888360 |
| hex | 1d950200 |
496304640 has 240 divisors, whose sum is σ = 1852178328. Its totient is φ = 122093568.
The previous prime is 496304629. The next prime is 496304651. The reversal of 496304640 is 46403694.
496304640 is a `hidden beast` number, since 4 + 9 + 6 + 3 + 0 + 4 + 640 = 666.
It is an interprime number because it is at equal distance from previous prime (496304629) and next prime (496304651).
It can be written as a sum of positive squares in 4 ways, for example, as 264777984 + 231526656 = 16272^2 + 15216^2 .
It is a tau number, because it is divible by the number of its divisors (240).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 496304595 and 496304604.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 298692 + ... + 300348.
Almost surely, 2496304640 is an apocalyptic number.
496304640 is a gapful number since it is divisible by the number (40) 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 496304640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926089164).
496304640 is an abundant number, since it is smaller than the sum of its proper divisors (1355873688).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
496304640 is a wasteful number, since it uses less digits than its factorization.
496304640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1699 (or 1680 counting only the distinct ones).
The product of its (nonzero) digits is 62208, while the sum is 36.
The square root of 496304640 is about 22277.8957713694. The cubic root of 496304640 is about 791.7403495346.
The spelling of 496304640 in words is "four hundred ninety-six million, three hundred four thousand, six hundred forty".
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