| Base | Representation |
|---|---|
| bin | 111000001111… |
| … | …0101100010000 |
| 3 | 2001111000222011 |
| 4 | 1300132230100 |
| 5 | 30022021330 |
| 6 | 2531552304 |
| 7 | 505424356 |
| oct | 160365420 |
| 9 | 61430864 |
| 10 | 29485840 |
| 11 | 1570a16a |
| 12 | 9a5b694 |
| 13 | 6154c57 |
| 14 | 3cb77d6 |
| 15 | 28c682a |
| hex | 1c1eb10 |
29485840 has 40 divisors (see below), whose sum is σ = 69727680. Its totient is φ = 11592576.
The previous prime is 29485823. The next prime is 29485843. The reversal of 29485840 is 4858492.
It is a tau number, because it is divible by the number of its divisors (40).
It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (40).
It is a junction number, because it is equal to n+sod(n) for n = 29485793 and 29485802.
It is not an unprimeable number, because it can be changed into a prime (29485843) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1597 + ... + 7843.
It is an arithmetic number, because the mean of its divisors is an integer number (1743192).
Almost surely, 229485840 is an apocalyptic number.
29485840 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 29485840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34863840).
29485840 is an abundant number, since it is smaller than the sum of its proper divisors (40241840).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
29485840 is a wasteful number, since it uses less digits than its factorization.
29485840 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6319 (or 6313 counting only the distinct ones).
The product of its (nonzero) digits is 92160, while the sum is 40.
The square root of 29485840 is about 5430.0865554796. The cubic root of 29485840 is about 308.9378844082.
It can be divided in two parts, 294 and 85840, that multiplied together give a triangular number (25236960 = T7104).
The spelling of 29485840 in words is "twenty-nine million, four hundred eighty-five thousand, eight hundred forty".
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