Search a number
-
+
29318128 = 247673907
BaseRepresentation
bin110111111010…
…1101111110000
32001011111220121
41233311233300
530001140003
62524220024
7504125410
oct157655760
961144817
1029318128
1115605164
12999a614
1360c6808
143c72640
152891cbd
hex1bf5bf0

29318128 has 40 divisors (see below), whose sum is σ = 65904512. Its totient is φ = 12374208.

The previous prime is 29318119. The next prime is 29318141. The reversal of 29318128 is 82181392.

It is a junction number, because it is equal to n+sod(n) for n = 29318093 and 29318102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5551 + ... + 9457.

Almost surely, 229318128 is an apocalyptic number.

29318128 is a gapful number since it is divisible by the number (28) 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 29318128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32952256).

29318128 is an abundant number, since it is smaller than the sum of its proper divisors (36586384).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

29318128 is a wasteful number, since it uses less digits than its factorization.

29318128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3989 (or 3983 counting only the distinct ones).

The product of its digits is 6912, while the sum is 34.

The square root of 29318128 is about 5414.6216857690. The cubic root of 29318128 is about 308.3510362046.

The spelling of 29318128 in words is "twenty-nine million, three hundred eighteen thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 67 112 134 268 469 536 938 1072 1876 3752 3907 7504 7814 15628 27349 31256 54698 62512 109396 218792 261769 437584 523538 1047076 1832383 2094152 3664766 4188304 7329532 14659064 29318128