| Base | Representation |
|---|---|
| bin | 1010000100101000… |
| … | …11001111110000000 |
| 3 | 111221212101012012120 |
| 4 | 11002110121332000 |
| 5 | 42033322102200 |
| 6 | 2252331524240 |
| 7 | 251001643662 |
| oct | 50224317600 |
| 9 | 14855335176 |
| 10 | 5407612800 |
| 11 | 2325502597 |
| 12 | 106abb9680 |
| 13 | 6824372b5 |
| 14 | 394288532 |
| 15 | 219b209a0 |
| hex | 142519f80 |
5407612800 has 384 divisors, whose sum is σ = 19579104000. Its totient is φ = 1305722880.
The previous prime is 5407612799. The next prime is 5407612801. The reversal of 5407612800 is 82167045.
It is an interprime number because it is at equal distance from previous prime (5407612799) and next prime (5407612801).
It is a tau number, because it is divible by the number of its divisors (384).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (5407612801) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4194556 + ... + 4195844.
It is an arithmetic number, because the mean of its divisors is an integer number (50987250).
Almost surely, 25407612800 is an apocalyptic number.
5407612800 is a gapful number since it is divisible by the number (50) 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 5407612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9789552000).
5407612800 is an abundant number, since it is smaller than the sum of its proper divisors (14171491200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
5407612800 is a wasteful number, since it uses less digits than its factorization.
5407612800 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1358 (or 1341 counting only the distinct ones).
The product of its (nonzero) digits is 13440, while the sum is 33.
The square root of 5407612800 is about 73536.4725833379. The cubic root of 5407612800 is about 1755.2346988495.
Adding to 5407612800 its reverse (82167045), we get a palindrome (5489779845).
The spelling of 5407612800 in words is "five billion, four hundred seven million, six hundred twelve thousand, eight hundred".
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