Base | Representation |
---|---|
bin | 110001011000001… |
… | …101011011100010 |
3 | 2010201211121101110 |
4 | 301120031123202 |
5 | 3144034230200 |
6 | 214112044150 |
7 | 26346352650 |
oct | 6130153342 |
9 | 2121747343 |
10 | 828430050 |
11 | 395699838 |
12 | 1b1533656 |
13 | 1028283c6 |
14 | 7c049dd0 |
15 | 4cae0b50 |
hex | 3160d6e2 |
828430050 has 144 divisors (see below), whose sum is σ = 2429148096. Its totient is φ = 183024000.
The previous prime is 828430013. The next prime is 828430069. The reversal of 828430050 is 50034828.
It is a Harshad number since it is a multiple of its sum of digits (30).
It is an unprimeable number.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1008640 + ... + 1009460.
It is an arithmetic number, because the mean of its divisors is an integer number (16869084).
Almost surely, 2828430050 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 828430050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1214574048).
828430050 is an abundant number, since it is smaller than the sum of its proper divisors (1600718046).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
828430050 is a wasteful number, since it uses less digits than its factorization.
828430050 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 905 (or 869 counting only the distinct ones).
The product of its (nonzero) digits is 7680, while the sum is 30.
The square root of 828430050 is about 28782.4608051501. The cubic root of 828430050 is about 939.1867305605.
Adding to 828430050 its reverse (50034828), we get a palindrome (878464878).
The spelling of 828430050 in words is "eight hundred twenty-eight million, four hundred thirty thousand, fifty".
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