Base | Representation |
---|---|
bin | 1110111000000000… |
… | …0101100001000000 |
3 | 101022021112102020220 |
4 | 3232000011201000 |
5 | 31134202000000 |
6 | 1500115503040 |
7 | 200643640263 |
oct | 35600054100 |
9 | 11267472226 |
10 | 3993000000 |
11 | 1769a43000 |
12 | 9352b7a80 |
13 | 4b83404c2 |
14 | 29c450cda |
15 | 1858411a0 |
hex | ee005840 |
3993000000 has 392 divisors, whose sum is σ = 14525439072. Its totient is φ = 968000000.
The previous prime is 3992999947. The next prime is 3993000023. The reversal of 3993000000 is 3993.
It is an ABA number since it can be written as A⋅BA, here for A=3, B=1100.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is an unprimeable number.
It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 362999995 + ... + 363000005.
Almost surely, 23993000000 is an apocalyptic number.
3993000000 is a gapful number since it is divisible by the number (30) 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 3993000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7262719536).
3993000000 is an abundant number, since it is smaller than the sum of its proper divisors (10532439072).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3993000000 is an frugal number, since it uses more digits than its factorization.
3993000000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 78 (or 21 counting only the distinct ones).
The product of its (nonzero) digits is 729, while the sum is 24.
The square root of 3993000000 is about 63190.1891119183. The cubic root of 3993000000 is about 1586.4745273381.
3993000000 divided by its sum of digits (24) gives a cube (166375000 = 5503).
Adding to 3993000000 its reverse (3993), we get a palindrome (3993003993).
Multiplying 3993000000 by its reverse (3993), we get a square (15944049000000 = 39930002).
3993000000 divided by its reverse (3993) gives a 6-th power (1000000 = 106).
It can be divided in two parts, 39 and 93000000, that added together give a palindrome (93000039).
The spelling of 3993000000 in words is "three billion, nine hundred ninety-three million", and thus it is an aban number.
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