Base | Representation |
---|---|
bin | 1010110100101010… |
… | …0110010100100000 |
3 | 21111110201022121210 |
4 | 2231022212110200 |
5 | 21422220034033 |
6 | 1200141150120 |
7 | 131665051020 |
oct | 25512462440 |
9 | 7443638553 |
10 | 2905236768 |
11 | 1260a26425 |
12 | 690b5b340 |
13 | 373b85515 |
14 | 1d7bb9a80 |
15 | 1200c5d63 |
hex | ad2a6520 |
2905236768 has 96 divisors (see below), whose sum is σ = 8724602880. Its totient is φ = 829221120.
The previous prime is 2905236757. The next prime is 2905236769. The reversal of 2905236768 is 8676325092.
It is a tau number, because it is divible by the number of its divisors (96).
It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (48).
It is not an unprimeable number, because it can be changed into a prime (2905236769) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 987043 + ... + 989981.
It is an arithmetic number, because the mean of its divisors is an integer number (90881280).
Almost surely, 22905236768 is an apocalyptic number.
2905236768 is a gapful number since it is divisible by the number (28) 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 2905236768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4362301440).
2905236768 is an abundant number, since it is smaller than the sum of its proper divisors (5819366112).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2905236768 is a wasteful number, since it uses less digits than its factorization.
2905236768 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4430 (or 4422 counting only the distinct ones).
The product of its (nonzero) digits is 1088640, while the sum is 48.
The square root of 2905236768 is about 53900.2483111163. The cubic root of 2905236768 is about 1426.9010053627.
The spelling of 2905236768 in words is "two billion, nine hundred five million, two hundred thirty-six thousand, seven hundred sixty-eight".
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