| Base | Representation |
|---|---|
| bin | 1111011000010… |
| … | …1000111110000 |
| 3 | 11111101100220000 |
| 4 | 3312011013300 |
| 5 | 113003232100 |
| 6 | 10222350000 |
| 7 | 1412212065 |
| oct | 366050760 |
| 9 | 144340800 |
| 10 | 64508400 |
| 11 | 33460130 |
| 12 | 1972b300 |
| 13 | 10498068 |
| 14 | 87d2c6c |
| 15 | 59e3900 |
| hex | 3d851f0 |
64508400 has 300 divisors, whose sum is σ = 253957704. Its totient is φ = 15552000.
The previous prime is 64508359. The next prime is 64508407. The reversal of 64508400 is 480546.
64508400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (300).
It is a super-2 number, since 2×645084002 = 8322667341120000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (64508407) 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 59 ways as a sum of consecutive naturals, for example, 356310 + ... + 356490.
Almost surely, 264508400 is an apocalyptic number.
64508400 is a gapful number since it is divisible by the number (60) 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 64508400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126978852).
64508400 is an abundant number, since it is smaller than the sum of its proper divisors (189449304).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
64508400 is a wasteful number, since it uses less digits than its factorization.
64508400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 222 (or 202 counting only the distinct ones).
The product of its (nonzero) digits is 3840, while the sum is 27.
The square root of 64508400 is about 8031.7121462363. The cubic root of 64508400 is about 401.0563743936.
Adding to 64508400 its reverse (480546), we get a palindrome (64988946).
The spelling of 64508400 in words is "sixty-four million, five hundred eight thousand, four hundred".
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