Base | Representation |
---|---|
bin | 111100111110011… |
… | …0111101110011000 |
3 | 12021120220120101200 |
4 | 1321330313232120 |
5 | 13142234000044 |
6 | 535004514200 |
7 | 101462466435 |
oct | 17174675630 |
9 | 5246816350 |
10 | 2046000024 |
11 | 95aa06112 |
12 | 49124b960 |
13 | 267b61c03 |
14 | 155a30b8c |
15 | be94c369 |
hex | 79f37b98 |
2046000024 has 96 divisors (see below), whose sum is σ = 5660054400. Its totient is φ = 667491840.
The previous prime is 2046000017. The next prime is 2046000037. The reversal of 2046000024 is 4200006402.
It is a super-2 number, since 2×20460000242 = 8372232196416001152, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 2045999970 and 2046000006.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 978372 + ... + 980460.
It is an arithmetic number, because the mean of its divisors is an integer number (58958900).
Almost surely, 22046000024 is an apocalyptic number.
2046000024 is a gapful number since it is divisible by the number (24) 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 2046000024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2830027200).
2046000024 is an abundant number, since it is smaller than the sum of its proper divisors (3614054376).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2046000024 is a wasteful number, since it uses less digits than its factorization.
2046000024 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2385 (or 2378 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 18.
The square root of 2046000024 is about 45232.7317768892. The cubic root of 2046000024 is about 1269.5073262091.
Adding to 2046000024 its reverse (4200006402), we get a palindrome (6246006426).
The spelling of 2046000024 in words is "two billion, forty-six million, twenty-four", and thus it is an aban number.
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