| Base | Representation |
|---|---|
| bin | 11101010111010… |
| … | …001011110000000 |
| 3 | 1021022222201012200 |
| 4 | 131113101132000 |
| 5 | 2002103441003 |
| 6 | 120514553200 |
| 7 | 15131241411 |
| oct | 3527213600 |
| 9 | 1238881180 |
| 10 | 492640128 |
| 11 | 23309a902 |
| 12 | 118b98800 |
| 13 | 7b0a9146 |
| 14 | 495db808 |
| 15 | 2d3b26a3 |
| hex | 1d5d1780 |
492640128 has 96 divisors (see below), whose sum is σ = 1479338640. Its totient is φ = 157065216.
The previous prime is 492640097. The next prime is 492640153. The reversal of 492640128 is 821046294.
492640128 is a `hidden beast` number, since 4 + 9 + 2 + 640 + 1 + 2 + 8 = 666.
It is a tau number, because it is divible by the number of its divisors (96).
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
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 = 492640092 and 492640101.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17200 + ... + 35792.
Almost surely, 2492640128 is an apocalyptic number.
492640128 is a gapful number since it is divisible by the number (48) 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 492640128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739669320).
492640128 is an abundant number, since it is smaller than the sum of its proper divisors (986698512).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
492640128 is a wasteful number, since it uses less digits than its factorization.
492640128 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 18636 (or 18621 counting only the distinct ones).
The product of its (nonzero) digits is 27648, while the sum is 36.
The square root of 492640128 is about 22195.4979218760. The cubic root of 492640128 is about 789.7869040155.
It can be divided in two parts, 4926 and 40128, that added together give a palindrome (45054).
The spelling of 492640128 in words is "four hundred ninety-two million, six hundred forty thousand, one hundred twenty-eight".
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