| Base | Representation |
|---|---|
| bin | 1011100010100… |
| … | …1110001100000 |
| 3 | 10101002021000000 |
| 4 | 2320221301200 |
| 5 | 44342434400 |
| 6 | 4445300000 |
| 7 | 1125304125 |
| oct | 270516140 |
| 9 | 111067000 |
| 10 | 48405600 |
| 11 | 25361931 |
| 12 | 14264600 |
| 13 | a04a789 |
| 14 | 660074c |
| 15 | 43b2600 |
| hex | 2e29c60 |
48405600 has 252 divisors, whose sum is σ = 179308836. Its totient is φ = 12752640.
The previous prime is 48405569. The next prime is 48405607. The reversal of 48405600 is 650484.
It is a super-2 number, since 2×484056002 = 4686204222720000, 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 (48405607) 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 41 ways as a sum of consecutive naturals, for example, 583159 + ... + 583241.
It is an arithmetic number, because the mean of its divisors is an integer number (711543).
Almost surely, 248405600 is an apocalyptic number.
48405600 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 48405600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89654418).
48405600 is an abundant number, since it is smaller than the sum of its proper divisors (130903236).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
48405600 is an equidigital number, since it uses as much as digits as its factorization.
48405600 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 121 (or 93 counting only the distinct ones).
The product of its (nonzero) digits is 3840, while the sum is 27.
The square root of 48405600 is about 6957.4133124316. The cubic root of 48405600 is about 364.4448933610. Note that the first 3 decimals are identical.
It can be divided in two parts, 4840 and 5600, that added together give a triangular number (10440 = T144).
The spelling of 48405600 in words is "forty-eight million, four hundred five thousand, six hundred".
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