Base | Representation |
---|---|
bin | 1010000111000… |
… | …0001010000000 |
3 | 2221210021012110 |
4 | 2201300022000 |
5 | 41323334212 |
6 | 4112455320 |
7 | 1023262152 |
oct | 241601200 |
9 | 87707173 |
10 | 42402432 |
11 | 21a31636 |
12 | 1224a540 |
13 | 8a281c7 |
14 | 58baad2 |
15 | 3ac8a3c |
hex | 2870280 |
42402432 has 64 divisors (see below), whose sum is σ = 117552960. Its totient is φ = 13516800.
The previous prime is 42402431. The next prime is 42402457. The reversal of 42402432 is 23420424.
It is a tau number, because it is divible by the number of its divisors (64).
It is a junction number, because it is equal to n+sod(n) for n = 42402399 and 42402408.
It is not an unprimeable number, because it can be changed into a prime (42402431) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6432 + ... + 11232.
It is an arithmetic number, because the mean of its divisors is an integer number (1836765).
Almost surely, 242402432 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 42402432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58776480).
42402432 is an abundant number, since it is smaller than the sum of its proper divisors (75150528).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42402432 is a wasteful number, since it uses less digits than its factorization.
42402432 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4841 (or 4829 counting only the distinct ones).
The product of its (nonzero) digits is 1536, while the sum is 21.
The square root of 42402432 is about 6511.7149814776. The cubic root of 42402432 is about 348.7093471454.
Adding to 42402432 its reverse (23420424), we get a palindrome (65822856).
The spelling of 42402432 in words is "forty-two million, four hundred two thousand, four hundred thirty-two".
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