| Base | Representation |
|---|---|
| bin | 1101011110111… |
| … | …0010000000000 |
| 3 | 10221102001120021 |
| 4 | 3113232100000 |
| 5 | 103434103100 |
| 6 | 5340023224 |
| 7 | 1254445654 |
| oct | 327562000 |
| 9 | 127361507 |
| 10 | 56550400 |
| 11 | 29a15175 |
| 12 | 16b31b14 |
| 13 | b93ca9a |
| 14 | 7720a64 |
| 15 | 4e70a1a |
| hex | 35ee400 |
56550400 has 99 divisors (see below), whose sum is σ = 143222449. Its totient is φ = 22138880.
The previous prime is 56550367. The next prime is 56550401. The reversal of 56550400 is 405565.
The square root of 56550400 is 7520.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in only one way, i.e., 20358144 + 36192256 = 4512^2 + 6016^2 .
It is a Harshad number since it is a multiple of its sum of digits (25).
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (56550401) 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 8 ways as a sum of consecutive naturals, for example, 1203177 + ... + 1203223.
Almost surely, 256550400 is an apocalyptic number.
56550400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.
56550400 is the 7520-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 56550400
56550400 is an abundant number, since it is smaller than the sum of its proper divisors (86672049).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
56550400 is an equidigital number, since it uses as much as digits as its factorization.
56550400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 124 (or 54 counting only the distinct ones).
The product of its (nonzero) digits is 3000, while the sum is 25.
The cubic root of 56550400 is about 383.8355777554.
Multiplying 56550400 by its sum of digits (25), we get a square (1413760000 = 376002).
56550400 divided by its sum of digits (25) gives a square (2262016 = 15042).
Adding to 56550400 its reverse (405565), we get a palindrome (56955965).
The spelling of 56550400 in words is "fifty-six million, five hundred fifty thousand, four hundred".
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