Base | Representation |
---|---|
bin | 111000000111… |
… | …0010101011000 |
3 | 2001100122001200 |
4 | 1300032111120 |
5 | 30012400330 |
6 | 2530314200 |
7 | 505025133 |
oct | 160162530 |
9 | 61318050 |
10 | 29418840 |
11 | 156738a0 |
12 | 9a28960 |
13 | 61305c9 |
14 | 3c9b21a |
15 | 28b1a60 |
hex | 1c0e558 |
29418840 has 384 divisors, whose sum is σ = 121305600. Its totient is φ = 6082560.
The previous prime is 29418799. The next prime is 29418841. The reversal of 29418840 is 4881492.
29418840 = 552 + 562 + ... + 4452.
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 = 29418795 and 29418804.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (29418841) 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 95 ways as a sum of consecutive naturals, for example, 1279069 + ... + 1279091.
It is an arithmetic number, because the mean of its divisors is an integer number (315900).
Almost surely, 229418840 is an apocalyptic number.
29418840 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 29418840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60652800).
29418840 is an abundant number, since it is smaller than the sum of its proper divisors (91886760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
29418840 is a wasteful number, since it uses less digits than its factorization.
29418840 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 87 (or 80 counting only the distinct ones).
The product of its (nonzero) digits is 18432, while the sum is 36.
The square root of 29418840 is about 5423.9137161279. The cubic root of 29418840 is about 308.7037094516.
It can be divided in two parts, 2941 and 8840, that added together give a triangular number (11781 = T153).
The spelling of 29418840 in words is "twenty-nine million, four hundred eighteen thousand, eight hundred forty".
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