Base | Representation |
---|---|
bin | 1010000111011… |
… | …1011011110000 |
3 | 2221211210002110 |
4 | 2201313123300 |
5 | 41330312430 |
6 | 4113245320 |
7 | 1023445104 |
oct | 241673360 |
9 | 87753073 |
10 | 42432240 |
11 | 21a51a74 |
12 | 12263840 |
13 | 8a38946 |
14 | 58c7904 |
15 | 3ad27b0 |
hex | 28776f0 |
42432240 has 80 divisors (see below), whose sum is σ = 137276928. Its totient is φ = 10821888.
The previous prime is 42432223. The next prime is 42432259. The reversal of 42432240 is 4223424.
It is a tau number, because it is divible by the number of its divisors (80).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1677 + ... + 9363.
Almost surely, 242432240 is an apocalyptic number.
42432240 is a gapful number since it is divisible by the number (40) 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 42432240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68638464).
42432240 is an abundant number, since it is smaller than the sum of its proper divisors (94844688).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42432240 is a wasteful number, since it uses less digits than its factorization.
42432240 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 7726 (or 7720 counting only the distinct ones).
The product of its (nonzero) digits is 1536, while the sum is 21.
The square root of 42432240 is about 6514.0033773402. The cubic root of 42432240 is about 348.7910397356.
Adding to 42432240 its reverse (4223424), we get a palindrome (46655664).
The spelling of 42432240 in words is "forty-two million, four hundred thirty-two thousand, two hundred forty".
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