Base | Representation |
---|---|
bin | 1010001011001… |
… | …0111000010100 |
3 | 2222022011002200 |
4 | 2202302320110 |
5 | 41411110412 |
6 | 4122404500 |
7 | 1025511021 |
oct | 242627024 |
9 | 88264080 |
10 | 42675732 |
11 | 220a8a00 |
12 | 12360730 |
13 | 8ac2718 |
14 | 594c548 |
15 | 3b2e9dc |
hex | 28b2e14 |
42675732 has 108 divisors (see below), whose sum is σ = 120981588. Its totient is φ = 12672000.
The previous prime is 42675719. The next prime is 42675769. The reversal of 42675732 is 23757624.
It is a happy number.
It can be written as a sum of positive squares in 2 ways, for example, as 32216976 + 10458756 = 5676^2 + 3234^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is an unprimeable number.
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 35 ways as a sum of consecutive naturals, for example, 422482 + ... + 422582.
Almost surely, 242675732 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 42675732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60490794).
42675732 is an abundant number, since it is smaller than the sum of its proper divisors (78305856).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42675732 is a wasteful number, since it uses less digits than its factorization.
42675732 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 230 (or 214 counting only the distinct ones).
The product of its digits is 70560, while the sum is 36.
The square root of 42675732 is about 6532.6665305984. Note that the first 3 decimals coincide. The cubic root of 42675732 is about 349.4569319486.
It can be divided in two parts, 4267 and 5732, that added together give a palindrome (9999).
The spelling of 42675732 in words is "forty-two million, six hundred seventy-five thousand, seven hundred thirty-two".
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