| Base | Representation |
|---|---|
| bin | 1111010001100101110000 |
| 3 | 21112102202000 |
| 4 | 33101211300 |
| 5 | 2011113313 |
| 6 | 221454000 |
| 7 | 46015035 |
| oct | 17214560 |
| 9 | 7472660 |
| 10 | 4004208 |
| 11 | 229546a |
| 12 | 1411300 |
| 13 | aa2770 |
| 14 | 76338c |
| 15 | 541673 |
| hex | 3d1970 |
4004208 has 160 divisors (see below), whose sum is σ = 13332480. Its totient is φ = 1140480.
The previous prime is 4004207. The next prime is 4004213. The reversal of 4004208 is 8024004.
It is a happy number.
4004208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a hoax number, since the sum of its digits (18) 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 (18).
It is an Ulam number.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (4004207) 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 31 ways as a sum of consecutive naturals, for example, 129153 + ... + 129183.
It is an arithmetic number, because the mean of its divisors is an integer number (83328).
Almost surely, 24004208 is an apocalyptic number.
4004208 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 4004208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6666240).
4004208 is an abundant number, since it is smaller than the sum of its proper divisors (9328272).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4004208 is a wasteful number, since it uses less digits than its factorization.
4004208 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 84 (or 72 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 18.
The square root of 4004208 is about 2001.0517234694. The cubic root of 4004208 is about 158.7957505520.
The spelling of 4004208 in words is "four million, four thousand, two hundred eight".
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