Base | Representation |
---|---|
bin | 1010000001010… |
… | …1111101011100 |
3 | 2221002111102100 |
4 | 2200111331130 |
5 | 41230023423 |
6 | 4100525100 |
7 | 1020163104 |
oct | 240257534 |
9 | 87074370 |
10 | 42032988 |
11 | 217aa008 |
12 | 120b0790 |
13 | 8928cba |
14 | 5822204 |
15 | 3a54343 |
hex | 2815f5c |
42032988 has 36 divisors (see below), whose sum is σ = 106823808. Its totient is φ = 13935360.
The previous prime is 42032953. The next prime is 42032989. The reversal of 42032988 is 88923024.
42032988 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (36).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (42032989) by changing a digit.
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 11 ways as a sum of consecutive naturals, for example, 3820 + ... + 9932.
It is an arithmetic number, because the mean of its divisors is an integer number (2967328).
Almost surely, 242032988 is an apocalyptic number.
It is an amenable number.
42032988 is an abundant number, since it is smaller than the sum of its proper divisors (64790820).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42032988 is a wasteful number, since it uses less digits than its factorization.
42032988 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6314 (or 6309 counting only the distinct ones).
The product of its (nonzero) digits is 27648, while the sum is 36.
The square root of 42032988 is about 6483.2852783138. The cubic root of 42032988 is about 347.6936463609.
Adding to 42032988 its sum of digits (36), we get a palindrome (42033024).
The spelling of 42032988 in words is "forty-two million, thirty-two thousand, nine hundred eighty-eight".
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