Base | Representation |
---|---|
bin | 1010000101010… |
… | …1011111110000 |
3 | 2221120201102000 |
4 | 2201111133300 |
5 | 41311340412 |
6 | 4110254000 |
7 | 1022325612 |
oct | 241253760 |
9 | 87521360 |
10 | 42293232 |
11 | 21967593 |
12 | 121b7300 |
13 | 89ba5a7 |
14 | 588cdb2 |
15 | 3aa64dc |
hex | 28557f0 |
42293232 has 80 divisors (see below), whose sum is σ = 124039680. Its totient is φ = 13791168.
The previous prime is 42293227. The next prime is 42293243. The reversal of 42293232 is 23239224.
42293232 is a `hidden beast` number, since 422 + 9 + 3 + 232 = 666.
42293232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (27).
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 = 42293196 and 42293205.
It is a congruent number.
It is an unprimeable number.
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 15 ways as a sum of consecutive naturals, for example, 19263 + ... + 21345.
It is an arithmetic number, because the mean of its divisors is an integer number (1550496).
Almost surely, 242293232 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 42293232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62019840).
42293232 is an abundant number, since it is smaller than the sum of its proper divisors (81746448).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42293232 is a wasteful number, since it uses less digits than its factorization.
42293232 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2147 (or 2135 counting only the distinct ones).
The product of its digits is 5184, while the sum is 27.
The square root of 42293232 is about 6503.3246881883. The cubic root of 42293232 is about 348.4097432909.
The spelling of 42293232 in words is "forty-two million, two hundred ninety-three thousand, two hundred thirty-two".
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