| Base | Representation |
|---|---|
| bin | 1010001001000… |
| … | …0111000000000 |
| 3 | 2222001002001000 |
| 4 | 2202100320000 |
| 5 | 41342131243 |
| 6 | 4115412000 |
| 7 | 1024360653 |
| oct | 242207000 |
| 9 | 88032030 |
| 10 | 42536448 |
| 11 | 22013299 |
| 12 | 122b4000 |
| 13 | 8a741c6 |
| 14 | 591389a |
| 15 | 3b035d3 |
| hex | 2890e00 |
42536448 has 160 divisors (see below), whose sum is σ = 134053920. Its totient is φ = 13271040.
The previous prime is 42536441. The next prime is 42536467. The reversal of 42536448 is 84463524.
42536448 is a `hidden beast` number, since 4 + 2 + 5 + 3 + 644 + 8 = 666.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (42536441) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234918 + ... + 235098.
It is an arithmetic number, because the mean of its divisors is an integer number (837837).
Almost surely, 242536448 is an apocalyptic number.
42536448 is a gapful number since it is divisible by the number (48) 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 42536448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67026960).
42536448 is an abundant number, since it is smaller than the sum of its proper divisors (91517472).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42536448 is a wasteful number, since it uses less digits than its factorization.
42536448 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 225 (or 203 counting only the distinct ones).
The product of its digits is 92160, while the sum is 36.
The square root of 42536448 is about 6521.9972401098. The cubic root of 42536448 is about 349.0763346188.
Adding to 42536448 its sum of digits (36), we get a square (42536484 = 65222).
It can be divided in two parts, 4253 and 6448, that added together give a palindrome (10701).
The spelling of 42536448 in words is "forty-two million, five hundred thirty-six thousand, four hundred forty-eight".
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