Base | Representation |
---|---|
bin | 111011001111110… |
… | …000110001000100 |
3 | 2120021100210201111 |
4 | 323033300301010 |
5 | 4013430101102 |
6 | 242344334404 |
7 | 33426520120 |
oct | 7317606104 |
9 | 2507323644 |
10 | 993987652 |
11 | 4700976a9 |
12 | 238a74404 |
13 | 12ac13698 |
14 | 96024580 |
15 | 5c3e4cd7 |
hex | 3b3f0c44 |
993987652 has 48 divisors (see below), whose sum is σ = 2041345152. Its totient is φ = 414685440.
The previous prime is 993987623. The next prime is 993987653. The reversal of 993987652 is 256789399.
993987652 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×9939876522 = 1976022904656946208, which contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (993987653) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 191848 + ... + 196960.
It is an arithmetic number, because the mean of its divisors is an integer number (42528024).
Almost surely, 2993987652 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 993987652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1020672576).
993987652 is an abundant number, since it is smaller than the sum of its proper divisors (1047357500).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
993987652 is a wasteful number, since it uses less digits than its factorization.
993987652 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5308 (or 5306 counting only the distinct ones).
The product of its digits is 7348320, while the sum is 58.
The square root of 993987652 is about 31527.5697128719. The cubic root of 993987652 is about 997.9918540492.
The spelling of 993987652 in words is "nine hundred ninety-three million, nine hundred eighty-seven thousand, six hundred fifty-two".
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