Base | Representation |
---|---|
bin | 1010001101000… |
… | …1101110000000 |
3 | 2222112120101001 |
4 | 2203101232000 |
5 | 41424131143 |
6 | 4125221344 |
7 | 1026545212 |
oct | 243215600 |
9 | 88476331 |
10 | 42802048 |
11 | 221848a3 |
12 | 12401854 |
13 | 8b38073 |
14 | 59825b2 |
15 | 3b5714d |
hex | 28d1b80 |
42802048 has 32 divisors (see below), whose sum is σ = 85973760. Its totient is φ = 21224448.
The previous prime is 42802043. The next prime is 42802049. The reversal of 42802048 is 84020824.
It is a tau number, because it is divible by the number of its divisors (32).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (42802043) by changing a digit.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14940 + ... + 17572.
It is an arithmetic number, because the mean of its divisors is an integer number (2686680).
Almost surely, 242802048 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 42802048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42986880).
42802048 is an abundant number, since it is smaller than the sum of its proper divisors (43171712).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42802048 is a wasteful number, since it uses less digits than its factorization.
42802048 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2774 (or 2762 counting only the distinct ones).
The product of its (nonzero) digits is 4096, while the sum is 28.
The square root of 42802048 is about 6542.3274146132. The cubic root of 42802048 is about 349.8013784620.
It can be divided in two parts, 4280 and 2048, that added together give a triangular number (6328 = T112).
The spelling of 42802048 in words is "forty-two million, eight hundred two thousand, forty-eight".
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