| Base | Representation |
|---|---|
| bin | 11101010110001… |
| … | …110100110100000 |
| 3 | 1021022110210111200 |
| 4 | 131112032212200 |
| 5 | 2002021204430 |
| 6 | 120505041200 |
| 7 | 15126021042 |
| oct | 3526164640 |
| 9 | 1238423450 |
| 10 | 492366240 |
| 11 | 232a23053 |
| 12 | 118a86200 |
| 13 | 7b011592 |
| 14 | 49569a92 |
| 15 | 2d35b460 |
| hex | 1d58e9a0 |
492366240 has 144 divisors (see below), whose sum is σ = 1779123528. Its totient is φ = 123568128.
The previous prime is 492366169. The next prime is 492366241. The reversal of 492366240 is 42663294.
492366240 is a `hidden beast` number, since 4 + 9 + 23 + 6 + 624 + 0 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 342842256 + 149523984 = 18516^2 + 12228^2 .
It is a tau number, because it is divible by the number of its divisors (144).
It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its 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 = 492366195 and 492366204.
It is not an unprimeable number, because it can be changed into a prime (492366241) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14424 + ... + 34536.
Almost surely, 2492366240 is an apocalyptic number.
492366240 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 492366240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889561764).
492366240 is an abundant number, since it is smaller than the sum of its proper divisors (1286757288).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
492366240 is a wasteful number, since it uses less digits than its factorization.
492366240 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 20151 (or 20140 counting only the distinct ones).
The product of its (nonzero) digits is 62208, while the sum is 36.
The square root of 492366240 is about 22189.3271642022. The cubic root of 492366240 is about 789.6405136839.
The spelling of 492366240 in words is "four hundred ninety-two million, three hundred sixty-six thousand, two hundred forty".
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