Base | Representation |
---|---|
bin | 1010001111101… |
… | …0011111000000 |
3 | 2222212001102100 |
4 | 2203322133000 |
5 | 42000002044 |
6 | 4132550400 |
7 | 1031142060 |
oct | 243723700 |
9 | 88761370 |
10 | 42969024 |
11 | 2228929a |
12 | 12482400 |
13 | 8b96077 |
14 | 59c73a0 |
15 | 3b8b869 |
hex | 28fa7c0 |
42969024 has 84 divisors (see below), whose sum is σ = 140770864. Its totient is φ = 12275712.
The previous prime is 42969023. The next prime is 42969077. The reversal of 42969024 is 42096924.
42969024 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 (84).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 42969024.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (42969023) 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, 1297 + ... + 9360.
Almost surely, 242969024 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 42969024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70385432).
42969024 is an abundant number, since it is smaller than the sum of its proper divisors (97801840).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42969024 is a wasteful number, since it uses less digits than its factorization.
42969024 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10682 (or 10669 counting only the distinct ones).
The product of its (nonzero) digits is 31104, while the sum is 36.
The square root of 42969024 is about 6555.0762009301. The cubic root of 42969024 is about 350.2556608237.
The spelling of 42969024 in words is "forty-two million, nine hundred sixty-nine thousand, twenty-four".
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