Base | Representation |
---|---|
bin | 111100010111100… |
… | …1011001111100000 |
3 | 12020011120210201200 |
4 | 1320233023033200 |
5 | 13122030221421 |
6 | 533000201200 |
7 | 101124410541 |
oct | 17057131740 |
9 | 5204523650 |
10 | 2025632736 |
11 | 94a464946 |
12 | 486469200 |
13 | 26388056a |
14 | 15304c4c8 |
15 | bcc77726 |
hex | 78bcb3e0 |
2025632736 has 72 divisors (see below), whose sum is σ = 5792721480. Its totient is φ = 671421696.
The previous prime is 2025632723. The next prime is 2025632753. The reversal of 2025632736 is 6372365202.
It is a happy number.
2025632736 is a `hidden beast` number, since 20 + 2 + 563 + 2 + 73 + 6 = 666.
It is a tau number, because it is divible by the number of its divisors (72).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 2025632736.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31906 + ... + 71198.
It is an arithmetic number, because the mean of its divisors is an integer number (80454465).
Almost surely, 22025632736 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 2025632736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2896360740).
2025632736 is an abundant number, since it is smaller than the sum of its proper divisors (3767088744).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2025632736 is a wasteful number, since it uses less digits than its factorization.
2025632736 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 39488 (or 39477 counting only the distinct ones).
The product of its (nonzero) digits is 90720, while the sum is 36.
The square root of 2025632736 is about 45007.0298509022. The cubic root of 2025632736 is about 1265.2807546530.
Adding to 2025632736 its reverse (6372365202), we get a palindrome (8397997938).
The spelling of 2025632736 in words is "two billion, twenty-five million, six hundred thirty-two thousand, seven hundred thirty-six".
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