Base | Representation |
---|---|
bin | 101100111000100… |
… | …0111111111101100 |
3 | 10212221220021020200 |
4 | 1121301013333230 |
5 | 11041022100103 |
6 | 405235513500 |
7 | 52215133260 |
oct | 13161077754 |
9 | 3787807220 |
10 | 1506050028 |
11 | 70314274a |
12 | 360458890 |
13 | 1b002cc82 |
14 | 10403a0a0 |
15 | 8c3420a3 |
hex | 59c47fec |
1506050028 has 144 divisors (see below), whose sum is σ = 4566481920. Its totient is φ = 409191552.
The previous prime is 1506050003. The next prime is 1506050047. The reversal of 1506050028 is 8200506051.
1506050028 is a `hidden beast` number, since 1 + 50 + 605 + 0 + 0 + 2 + 8 = 666.
It is a junction number, because it is equal to n+sod(n) for n = 1506049983 and 1506050010.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1141153 + ... + 1142471.
It is an arithmetic number, because the mean of its divisors is an integer number (31711680).
Almost surely, 21506050028 is an apocalyptic number.
1506050028 is a gapful number since it is divisible by the number (18) 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 1506050028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2283240960).
1506050028 is an abundant number, since it is smaller than the sum of its proper divisors (3060431892).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1506050028 is a wasteful number, since it uses less digits than its factorization.
1506050028 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1556 (or 1551 counting only the distinct ones).
The product of its (nonzero) digits is 2400, while the sum is 27.
The square root of 1506050028 is about 38807.8603893593. The cubic root of 1506050028 is about 1146.2511898784.
Adding to 1506050028 its reverse (8200506051), we get a palindrome (9706556079).
The spelling of 1506050028 in words is "one billion, five hundred six million, fifty thousand, twenty-eight".
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