| Base | Representation |
|---|---|
| bin | 1100101111110… |
| … | …1000001110000 |
| 3 | 10201121022110121 |
| 4 | 3023331001300 |
| 5 | 102141341300 |
| 6 | 5145540024 |
| 7 | 1216306135 |
| oct | 313750160 |
| 9 | 121538417 |
| 10 | 53465200 |
| 11 | 281a8218 |
| 12 | 15aa4614 |
| 13 | b0cc719 |
| 14 | 715a58c |
| 15 | 4a6181a |
| hex | 32fd070 |
53465200 has 60 divisors (see below), whose sum is σ = 130280848. Its totient is φ = 21081600.
The previous prime is 53465171. The next prime is 53465207. The reversal of 53465200 is 256435.
53465200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×534652002 = 5717055222080000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (25).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (53465207) 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 11 ways as a sum of consecutive naturals, for example, 28285 + ... + 30115.
Almost surely, 253465200 is an apocalyptic number.
53465200 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 53465200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65140424).
53465200 is an abundant number, since it is smaller than the sum of its proper divisors (76815648).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
53465200 is a wasteful number, since it uses less digits than its factorization.
53465200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1922 (or 1911 counting only the distinct ones).
The product of its (nonzero) digits is 3600, while the sum is 25.
The square root of 53465200 is about 7311.9901531662. The cubic root of 53465200 is about 376.7243844341.
It can be divided in two parts, 53465 and 200, that multiplied together give a triangular number (10693000 = T4624).
The spelling of 53465200 in words is "fifty-three million, four hundred sixty-five thousand, two hundred".
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