| Base | Representation |
|---|---|
| bin | 11101001110110… |
| … | …000100011000000 |
| 3 | 1021011210022111000 |
| 4 | 131032300203000 |
| 5 | 2001021030003 |
| 6 | 120355052000 |
| 7 | 15103254210 |
| oct | 3516604300 |
| 9 | 1234708430 |
| 10 | 490408128 |
| 11 | 231905981 |
| 12 | 1182a1000 |
| 13 | 7a7a7232 |
| 14 | 491ba240 |
| 15 | 2d0c11a3 |
| hex | 1d3b08c0 |
490408128 has 112 divisors (see below), whose sum is σ = 1647708160. Its totient is φ = 140113152.
The previous prime is 490408123. The next prime is 490408133. The reversal of 490408128 is 821804094.
490408128 is a `hidden beast` number, since 490 + 40 + 8 + 128 = 666.
It is an interprime number because it is at equal distance from previous prime (490408123) and next prime (490408133).
It is a tau number, because it is divible by the number of its divisors (112).
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 = 490408092 and 490408101.
It is not an unprimeable number, because it can be changed into a prime (490408123) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8176 + ... + 32367.
It is an arithmetic number, because the mean of its divisors is an integer number (14711680).
Almost surely, 2490408128 is an apocalyptic number.
490408128 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 490408128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823854080).
490408128 is an abundant number, since it is smaller than the sum of its proper divisors (1157300032).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
490408128 is a wasteful number, since it uses less digits than its factorization.
490408128 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 40571 (or 40555 counting only the distinct ones).
The product of its (nonzero) digits is 18432, while the sum is 36.
The square root of 490408128 is about 22145.1603742217. The cubic root of 490408128 is about 788.5923380899.
The spelling of 490408128 in words is "four hundred ninety million, four hundred eight thousand, one hundred twenty-eight".
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