Base | Representation |
---|---|
bin | 1010110011111001… |
… | …0000010100100000 |
3 | 21111020121220212212 |
4 | 2230332100110200 |
5 | 21420403012203 |
6 | 1155543541252 |
7 | 131625413051 |
oct | 25476202440 |
9 | 7436556785 |
10 | 2902000928 |
11 | 125a116282 |
12 | 68ba5a828 |
13 | 3732c1718 |
14 | 1d75b6728 |
15 | 11eb871d8 |
hex | acf90520 |
2902000928 has 54 divisors (see below), whose sum is σ = 5832737001. Its totient is φ = 1421288704.
The previous prime is 2902000889. The next prime is 2902000939. The reversal of 2902000928 is 8290002092.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It can be written as a sum of positive squares in 2 ways, for example, as 2594068624 + 307932304 = 50932^2 + 17548^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=38092.
It is a super-2 number, since 2×29020009282 = 16843218772225722368, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (32).
It is a Duffinian number.
It is a junction number, because it is equal to n+sod(n) for n = 2902000894 and 2902000903.
It is an unprimeable number.
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 8 ways as a sum of consecutive naturals, for example, 27121451 + ... + 27121557.
Almost surely, 22902000928 is an apocalyptic number.
It is an amenable number.
2902000928 is an abundant number, since it is smaller than the sum of its proper divisors (2930736073).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2902000928 is an frugal number, since it uses more digits than its factorization.
2902000928 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 402 (or 198 counting only the distinct ones).
The product of its (nonzero) digits is 5184, while the sum is 32.
The square root of 2902000928 is about 53870.2230179159. The cubic root of 2902000928 is about 1426.3710498612.
Multiplying 2902000928 by its sum of digits (32), we get a square (92864029696 = 3047362).
2902000928 divided by its sum of digits (32) gives a square (90687529 = 95232).
The spelling of 2902000928 in words is "two billion, nine hundred two million, nine hundred twenty-eight", and thus it is an aban number.
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