Base | Representation |
---|---|
bin | 1010001001100… |
… | …0011111111000 |
3 | 2222002122212110 |
4 | 2202120133320 |
5 | 41344131142 |
6 | 4120212320 |
7 | 1024551000 |
oct | 242303770 |
9 | 88078773 |
10 | 42567672 |
11 | 220347a4 |
12 | 1230a0a0 |
13 | 8a85494 |
14 | 5921000 |
15 | 3b0c99c |
hex | 28987f8 |
42567672 has 64 divisors (see below), whose sum is σ = 124128000. Its totient is φ = 12159840.
The previous prime is 42567667. The next prime is 42567689. The reversal of 42567672 is 27676524.
It is a happy number.
42567672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a self number, because there is not a number n which added to its sum of digits gives 42567672.
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, 5647 + ... + 10817.
It is an arithmetic number, because the mean of its divisors is an integer number (1939500).
Almost surely, 242567672 is an apocalyptic number.
42567672 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 42567672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62064000).
42567672 is an abundant number, since it is smaller than the sum of its proper divisors (81560328).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42567672 is a wasteful number, since it uses less digits than its factorization.
42567672 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5201 (or 5183 counting only the distinct ones).
The product of its digits is 141120, while the sum is 39.
The square root of 42567672 is about 6524.3905462503. The cubic root of 42567672 is about 349.1617272183.
The spelling of 42567672 in words is "forty-two million, five hundred sixty-seven thousand, six hundred seventy-two".
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