Base | Representation |
---|---|
bin | 111011111011010… |
… | …011011110001000 |
3 | 2121001211201020211 |
4 | 323323103132020 |
5 | 4024340330432 |
6 | 243433130504 |
7 | 33625530100 |
oct | 7373233610 |
9 | 2531751224 |
10 | 1005401992 |
11 | 476583441 |
12 | 240859a34 |
13 | 1303abc2a |
14 | 97756200 |
15 | 5d3ebd47 |
hex | 3bed3788 |
1005401992 has 48 divisors (see below), whose sum is σ = 2199487500. Its totient is φ = 429593472.
The previous prime is 1005401989. The next prime is 1005402007. The reversal of 1005401992 is 2991045001.
It can be written as a sum of positive squares in 2 ways, for example, as 958150116 + 47251876 = 30954^2 + 6874^2 .
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 133134 + ... + 140482.
Almost surely, 21005401992 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 1005401992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1099743750).
1005401992 is an abundant number, since it is smaller than the sum of its proper divisors (1194085508).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1005401992 is a wasteful number, since it uses less digits than its factorization.
1005401992 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 7718 (or 7707 counting only the distinct ones).
The product of its (nonzero) digits is 3240, while the sum is 31.
The square root of 1005401992 is about 31708.0745552296. The cubic root of 1005401992 is about 1001.7974313050.
Adding to 1005401992 its reverse (2991045001), we get a palindrome (3996446993).
The spelling of 1005401992 in words is "one billion, five million, four hundred one thousand, nine hundred ninety-two".
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