Base | Representation |
---|---|
bin | 1010001100001… |
… | …1010111000000 |
3 | 2222102120200200 |
4 | 2203003113000 |
5 | 41420240412 |
6 | 4124045200 |
7 | 1026211560 |
oct | 243032700 |
9 | 88376620 |
10 | 42743232 |
11 | 22144694 |
12 | 12393800 |
13 | 8b1736c |
14 | 5968da0 |
15 | 3b449dc |
hex | 28c35c0 |
42743232 has 84 divisors (see below), whose sum is σ = 140031216. Its totient is φ = 12211200.
The previous prime is 42743227. The next prime is 42743273. The reversal of 42743232 is 23234724.
42743232 is a `hidden beast` number, since 427 + 4 + 3 + 232 = 666.
It is a tau number, because it is divible by the number of its divisors (84).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 42743196 and 42743205.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1269 + ... + 9332.
Almost surely, 242743232 is an apocalyptic number.
42743232 is a gapful number since it is divisible by the number (42) 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 42743232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70015608).
42743232 is an abundant number, since it is smaller than the sum of its proper divisors (97287984).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42743232 is a wasteful number, since it uses less digits than its factorization.
42743232 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 10626 (or 10613 counting only the distinct ones).
The product of its digits is 8064, while the sum is 27.
The square root of 42743232 is about 6537.8308329292. The cubic root of 42743232 is about 349.6410796769.
Adding to 42743232 its reverse (23234724), we get a palindrome (65977956).
The spelling of 42743232 in words is "forty-two million, seven hundred forty-three thousand, two hundred thirty-two".
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