| Base | Representation |
|---|---|
| bin | 110001011101101… |
| … | …100100101110000 |
| 3 | 2010211112200102200 |
| 4 | 301131230211300 |
| 5 | 3144421242100 |
| 6 | 214202543200 |
| 7 | 26364523254 |
| oct | 6135544560 |
| 9 | 2124480380 |
| 10 | 829868400 |
| 11 | 396491459 |
| 12 | 1b1b07b00 |
| 13 | 102c0ccba |
| 14 | 7c302264 |
| 15 | 4ccc6e00 |
| hex | 3176c970 |
829868400 has 180 divisors, whose sum is σ = 2927859480. Its totient is φ = 217612800.
The previous prime is 829868393. The next prime is 829868401. The reversal of 829868400 is 4868928.
It is a happy number.
829868400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (180).
It is a super-2 number, since 2×8298684002 = 1377363122637120000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (829868401) by changing a digit.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 217711 + ... + 221489.
It is an arithmetic number, because the mean of its divisors is an integer number (16265886).
Almost surely, 2829868400 is an apocalyptic number.
829868400 is a gapful number since it is divisible by the number (80) 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 829868400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1463929740).
829868400 is an abundant number, since it is smaller than the sum of its proper divisors (2097991080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
829868400 is a wasteful number, since it uses less digits than its factorization.
829868400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3864 (or 3850 counting only the distinct ones).
The product of its (nonzero) digits is 221184, while the sum is 45.
The square root of 829868400 is about 28807.4365398937. The cubic root of 829868400 is about 939.7299661952.
The spelling of 829868400 in words is "eight hundred twenty-nine million, eight hundred sixty-eight thousand, four hundred".
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