| Base | Representation |
|---|---|
| bin | 11000001101110… |
| … | …000000111010000 |
| 3 | 1001022110001101100 |
| 4 | 120031300013100 |
| 5 | 1313000230003 |
| 6 | 104151304400 |
| 7 | 13032065013 |
| oct | 3015600720 |
| 9 | 1038401340 |
| 10 | 406258128 |
| 11 | 19935a821 |
| 12 | b407b100 |
| 13 | 66222c33 |
| 14 | 3bd5337a |
| 15 | 259ecba3 |
| hex | 183701d0 |
406258128 has 60 divisors (see below), whose sum is σ = 1142809668. Its totient is φ = 134722560.
The previous prime is 406258123. The next prime is 406258183. The reversal of 406258128 is 821852604.
406258128 is a `hidden beast` number, since 4 + 0 + 625 + 8 + 1 + 28 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 195776064 + 210482064 = 13992^2 + 14508^2 .
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 = 406258092 and 406258101.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (406258123) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21208 + ... + 35528.
Almost surely, 2406258128 is an apocalyptic number.
406258128 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 406258128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571404834).
406258128 is an abundant number, since it is smaller than the sum of its proper divisors (736551540).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
406258128 is a wasteful number, since it uses less digits than its factorization.
406258128 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 14532 (or 14523 counting only the distinct ones).
The product of its (nonzero) digits is 30720, while the sum is 36.
The square root of 406258128 is about 20155.8460006024. The cubic root of 406258128 is about 740.6289563854.
The spelling of 406258128 in words is "four hundred six million, two hundred fifty-eight thousand, one hundred twenty-eight".
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