Base | Representation |
---|---|
bin | 100001010110… |
… | …010011110100 |
3 | 121110010221200 |
4 | 201112103310 |
5 | 4214222012 |
6 | 511212500 |
7 | 134210160 |
oct | 41262364 |
9 | 17403850 |
10 | 8742132 |
11 | 4a31103 |
12 | 2b17130 |
13 | 1a71179 |
14 | 1237ca0 |
15 | b7a3dc |
hex | 8564f4 |
8742132 has 72 divisors (see below), whose sum is σ = 25561536. Its totient is φ = 2467584.
The previous prime is 8742121. The next prime is 8742133. The reversal of 8742132 is 2312478.
It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.
It is a junction number, because it is equal to n+sod(n) for n = 8742096 and 8742105.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (8742133) 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 23 ways as a sum of consecutive naturals, for example, 28323 + ... + 28629.
Almost surely, 28742132 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 8742132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12780768).
8742132 is an abundant number, since it is smaller than the sum of its proper divisors (16819404).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
8742132 is a wasteful number, since it uses less digits than its factorization.
8742132 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 437 (or 432 counting only the distinct ones).
The product of its digits is 2688, while the sum is 27.
The square root of 8742132 is about 2956.7096577107. The cubic root of 8742132 is about 206.0024821393.
The spelling of 8742132 in words is "eight million, seven hundred forty-two thousand, one hundred thirty-two".
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