Search a number
-
+
29081382 = 2311241977
BaseRepresentation
bin110111011101…
…1111100100110
32000201111011020
41232323330212
524421101012
62515152010
7502121241
oct156737446
960644136
1029081382
1115463300
1298a5606
136042b25
143c10258
152846a8c
hex1bbbf26

29081382 has 48 divisors (see below), whose sum is σ = 65557296. Its totient is φ = 8588800.

The previous prime is 29081359. The next prime is 29081383. The reversal of 29081382 is 28318092.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29081383) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 29278 + ... + 30254.

It is an arithmetic number, because the mean of its divisors is an integer number (1365777).

Almost surely, 229081382 is an apocalyptic number.

29081382 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 29081382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32778648).

29081382 is an abundant number, since it is smaller than the sum of its proper divisors (36475914).

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

29081382 is a wasteful number, since it uses less digits than its factorization.

29081382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 29081382 is about 5392.7156424199. The cubic root of 29081382 is about 307.5188064379.

The spelling of 29081382 in words is "twenty-nine million, eighty-one thousand, three hundred eighty-two".

Divisors: 1 2 3 6 11 22 33 41 66 82 121 123 242 246 363 451 726 902 977 1353 1954 2706 2931 4961 5862 9922 10747 14883 21494 29766 32241 40057 64482 80114 118217 120171 236434 240342 354651 440627 709302 881254 1321881 2643762 4846897 9693794 14540691 29081382