| Base | Representation |
|---|---|
| bin | 1010100010101101… |
| … | …0011101000000000 |
| 3 | 21022020000002010000 |
| 4 | 2220223103220000 |
| 5 | 21243430043424 |
| 6 | 1144451040000 |
| 7 | 130061651544 |
| oct | 25053235000 |
| 9 | 7266002100 |
| 10 | 2829924864 |
| 11 | 1222467488 |
| 12 | 66b8a0000 |
| 13 | 3613a6c70 |
| 14 | 1cbbb3a24 |
| 15 | 11869b3c9 |
| hex | a8ad3a00 |
2829924864 has 400 divisors, whose sum is σ = 9461972520. Its totient is φ = 836075520.
The previous prime is 2829924863. The next prime is 2829924883. The reversal of 2829924864 is 4684299282.
It can be written as a sum of positive squares in 4 ways, for example, as 1049760000 + 1780164864 = 32400^2 + 42192^2 .
It is a super-3 number, since 3×28299248643 (a number of 29 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a nude number because it is divisible by every one of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 2829924864.
It is not an unprimeable number, because it can be changed into a prime (2829924863) by changing a digit.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15634854 + ... + 15635034.
Almost surely, 22829924864 is an apocalyptic number.
2829924864 is a gapful number since it is divisible by the number (24) 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 2829924864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4730986260).
2829924864 is an abundant number, since it is smaller than the sum of its proper divisors (6632047656).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2829924864 is a wasteful number, since it uses less digits than its factorization.
2829924864 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 253 (or 228 counting only the distinct ones).
The product of its digits is 3981312, while the sum is 54.
The square root of 2829924864 is about 53197.0381130378. The cubic root of 2829924864 is about 1414.4631415340.
The spelling of 2829924864 in words is "two billion, eight hundred twenty-nine million, nine hundred twenty-four thousand, eight hundred sixty-four".
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