| Base | Representation |
|---|---|
| bin | 11110001000111… |
| … | …01111100000000 |
| 3 | 122121202001210100 |
| 4 | 33010131330000 |
| 5 | 1004211020230 |
| 6 | 41031002400 |
| 7 | 6160005033 |
| oct | 1704357400 |
| 9 | 577661710 |
| 10 | 252829440 |
| 11 | 11a796556 |
| 12 | 70809400 |
| 13 | 404c3526 |
| 14 | 2581501a |
| 15 | 172e2660 |
| hex | f11df00 |
252829440 has 216 divisors, whose sum is σ = 926937648. Its totient is φ = 63406080.
The previous prime is 252829393. The next prime is 252829553. The reversal of 252829440 is 44928252.
252829440 is a `hidden beast` number, since 2 + 528 + 2 + 94 + 40 = 666.
252829440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 252829395 and 252829404.
It is a congruent number.
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 23 ways as a sum of consecutive naturals, for example, 195195 + ... + 196485.
It is an arithmetic number, because the mean of its divisors is an integer number (4291378).
Almost surely, 2252829440 is an apocalyptic number.
252829440 is a gapful number since it is divisible by the number (20) 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 252829440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463468824).
252829440 is an abundant number, since it is smaller than the sum of its proper divisors (674108208).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
252829440 is a wasteful number, since it uses less digits than its factorization.
252829440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1335 (or 1318 counting only the distinct ones).
The product of its (nonzero) digits is 46080, while the sum is 36.
The square root of 252829440 is about 15900.6113090032. The cubic root of 252829440 is about 632.3281957201.
The spelling of 252829440 in words is "two hundred fifty-two million, eight hundred twenty-nine thousand, four hundred forty".
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