Base | Representation |
---|---|
bin | 1010000110101… |
… | …0001100101000 |
3 | 2221202000201110 |
4 | 2201222030220 |
5 | 41322044044 |
6 | 4112150320 |
7 | 1023131043 |
oct | 241521450 |
9 | 87660643 |
10 | 42378024 |
11 | 21a15267 |
12 | 122383a0 |
13 | 8a1a070 |
14 | 58b1c5a |
15 | 3ac16b9 |
hex | 286a328 |
42378024 has 64 divisors (see below), whose sum is σ = 117210240. Its totient is φ = 12683520.
The previous prime is 42377977. The next prime is 42378031. The reversal of 42378024 is 42087324.
It is a junction number, because it is equal to n+sod(n) for n = 42377982 and 42378000.
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, 9709 + ... + 13379.
It is an arithmetic number, because the mean of its divisors is an integer number (1831410).
Almost surely, 242378024 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 42378024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58605120).
42378024 is an abundant number, since it is smaller than the sum of its proper divisors (74832216).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42378024 is a wasteful number, since it uses less digits than its factorization.
42378024 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3730 (or 3726 counting only the distinct ones).
The product of its (nonzero) digits is 10752, while the sum is 30.
The square root of 42378024 is about 6509.8405510427. The cubic root of 42378024 is about 348.6424254227.
The spelling of 42378024 in words is "forty-two million, three hundred seventy-eight thousand, twenty-four".
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