| Base | Representation |
|---|---|
| bin | 11000011010001… |
| … | …101111100011000 |
| 3 | 1001112121002010010 |
| 4 | 120122031330120 |
| 5 | 1314314313130 |
| 6 | 104345321520 |
| 7 | 13101625320 |
| oct | 3032157430 |
| 9 | 1045532103 |
| 10 | 409526040 |
| 11 | 1a0191a80 |
| 12 | b51962a0 |
| 13 | 66ac8501 |
| 14 | 3c564280 |
| 15 | 25e460b0 |
| hex | 1868df18 |
409526040 has 512 divisors, whose sum is σ = 1672151040. Its totient is φ = 77721600.
The previous prime is 409525969. The next prime is 409526041. The reversal of 409526040 is 40625904.
409526040 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (30).
It is a junction number, because it is equal to n+sod(n) for n = 409525989 and 409526007.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (409526041) by changing a digit.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8713297 + ... + 8713343.
It is an arithmetic number, because the mean of its divisors is an integer number (3265920).
Almost surely, 2409526040 is an apocalyptic number.
409526040 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 409526040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836075520).
409526040 is an abundant number, since it is smaller than the sum of its proper divisors (1262625000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
409526040 is a wasteful number, since it uses less digits than its factorization.
409526040 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 143 (or 139 counting only the distinct ones).
The product of its (nonzero) digits is 8640, while the sum is 30.
The square root of 409526040 is about 20236.7497390268. The cubic root of 409526040 is about 742.6095112199.
It can be divided in two parts, 4095 and 26040, that added together give a triangular number (30135 = T245).
The spelling of 409526040 in words is "four hundred nine million, five hundred twenty-six thousand, forty".
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