Base | Representation |
---|---|
bin | 1010111010000110… |
… | …0011110010100000 |
3 | 21120001121111002000 |
4 | 2232201203302200 |
5 | 21444034023203 |
6 | 1202313524000 |
7 | 132362604102 |
oct | 25641436240 |
9 | 7501544060 |
10 | 2928032928 |
11 | 1272886527 |
12 | 698713600 |
13 | 378807582 |
14 | 1dac31572 |
15 | 1220ca4a3 |
hex | ae863ca0 |
2928032928 has 96 divisors (see below), whose sum is σ = 8667731520. Its totient is φ = 961424640.
The previous prime is 2928032909. The next prime is 2928032929. The reversal of 2928032928 is 8292308292.
2928032928 is a `hidden beast` number, since 29 + 280 + 329 + 28 = 666.
It is a tau number, because it is divible by the number of its divisors (96).
It is not an unprimeable number, because it can be changed into a prime (2928032929) 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, 32598 + ... + 83178.
It is an arithmetic number, because the mean of its divisors is an integer number (90288870).
Almost surely, 22928032928 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 2928032928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4333865760).
2928032928 is an abundant number, since it is smaller than the sum of its proper divisors (5739698592).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2928032928 is a wasteful number, since it uses less digits than its factorization.
2928032928 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 50667 (or 50653 counting only the distinct ones).
The product of its (nonzero) digits is 248832, while the sum is 45.
The square root of 2928032928 is about 54111.3012964944. The cubic root of 2928032928 is about 1430.6233818512.
The spelling of 2928032928 in words is "two billion, nine hundred twenty-eight million, thirty-two thousand, nine hundred twenty-eight".
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