| Base | Representation |
|---|---|
| bin | 1110111010111011… |
| … | …0101010100000000 |
| 3 | 101100010121000010120 |
| 4 | 3232232311110000 |
| 5 | 31200321120100 |
| 6 | 1501234300240 |
| 7 | 201153046350 |
| oct | 35656652400 |
| 9 | 11303530116 |
| 10 | 4005254400 |
| 11 | 1775952a04 |
| 12 | 939427680 |
| 13 | 4baa41224 |
| 14 | 29dd20b60 |
| 15 | 1869620a0 |
| hex | eebb5500 |
4005254400 has 432 divisors, whose sum is σ = 16004225664. Its totient is φ = 861143040.
The previous prime is 4005254399. The next prime is 4005254401. The reversal of 4005254400 is 44525004.
4005254400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (4005254399) and next prime (4005254401).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a nialpdrome in base 16.
It is a zygodrome in base 16.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (4005254401) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2283924 + ... + 2285676.
Almost surely, 24005254400 is an apocalyptic number.
4005254400 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 4005254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8002112832).
4005254400 is an abundant number, since it is smaller than the sum of its proper divisors (11998971264).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4005254400 is a wasteful number, since it uses less digits than its factorization.
4005254400 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1806 (or 1787 counting only the distinct ones).
The product of its (nonzero) digits is 3200, while the sum is 24.
The square root of 4005254400 is about 63287.0792500333. The cubic root of 4005254400 is about 1588.0958178494.
Adding to 4005254400 its reverse (44525004), we get a palindrome (4049779404).
The spelling of 4005254400 in words is "four billion, five million, two hundred fifty-four thousand, four hundred".
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