Base | Representation |
---|---|
bin | 1110100010100100… |
… | …0110100100000000 |
3 | 101002000100110102000 |
4 | 3220221012210000 |
5 | 30443142321041 |
6 | 1443144424000 |
7 | 165502464630 |
oct | 35051064400 |
9 | 11060313360 |
10 | 3903088896 |
11 | 1723212503 |
12 | 90b178000 |
13 | 4a281cb75 |
14 | 2905286c0 |
15 | 17c9d0bb6 |
hex | e8a46900 |
3903088896 has 144 divisors (see below), whose sum is σ = 13191158400. Its totient is φ = 1115154432.
The previous prime is 3903088873. The next prime is 3903088897. The reversal of 3903088896 is 6988803093.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is not an unprimeable number, because it can be changed into a prime (3903088897) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8050 + ... + 88718.
Almost surely, 23903088896 is an apocalyptic number.
3903088896 is a gapful number since it is divisible by the number (36) 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 3903088896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6595579200).
3903088896 is an abundant number, since it is smaller than the sum of its proper divisors (9288069504).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3903088896 is an equidigital number, since it uses as much as digits as its factorization.
3903088896 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 80701 (or 80681 counting only the distinct ones).
The product of its (nonzero) digits is 2239488, while the sum is 54.
The square root of 3903088896 is about 62474.7060497286. The cubic root of 3903088896 is about 1574.4763719645.
The spelling of 3903088896 in words is "three billion, nine hundred three million, eighty-eight thousand, eight hundred ninety-six".
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