Base | Representation |
---|---|
bin | 1000011010110… |
… | …1110101010100 |
3 | 2110110012010000 |
4 | 2012231311110 |
5 | 33020040103 |
6 | 3300531300 |
7 | 606113160 |
oct | 206556524 |
9 | 73405100 |
10 | 35315028 |
11 | 18a30781 |
12 | b9b0b30 |
13 | 7416288 |
14 | 4993ca0 |
15 | 3178aa3 |
hex | 21add54 |
35315028 has 120 divisors (see below), whose sum is σ = 110259072. Its totient is φ = 9637056.
The previous prime is 35315023. The next prime is 35315039. The reversal of 35315028 is 82051353.
35315028 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 35314992 and 35315010.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (35315023) 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 39 ways as a sum of consecutive naturals, for example, 51826 + ... + 52502.
Almost surely, 235315028 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 35315028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55129536).
35315028 is an abundant number, since it is smaller than the sum of its proper divisors (74944044).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
35315028 is a wasteful number, since it uses less digits than its factorization.
35315028 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 723 (or 712 counting only the distinct ones).
The product of its (nonzero) digits is 3600, while the sum is 27.
The square root of 35315028 is about 5942.6448657143. The cubic root of 35315028 is about 328.0851082932.
The spelling of 35315028 in words is "thirty-five million, three hundred fifteen thousand, twenty-eight".
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