Search a number
-
+
29433162 = 23114173149
BaseRepresentation
bin111000001000…
…1110101001010
32001101100201010
41300101311022
530013330122
62530504350
7505114653
oct160216512
961340633
1029433162
1115683630
129a350b6
136136c95
143ca252a
1528b5e0c
hex1c11d4a

29433162 has 64 divisors (see below), whose sum is σ = 67132800. Its totient is φ = 8524800.

The previous prime is 29433127. The next prime is 29433181. The reversal of 29433162 is 26133492.

It is a super-2 number, since 2×294331622 = 1732622050636488, which contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 197464 + ... + 197612.

It is an arithmetic number, because the mean of its divisors is an integer number (1048950).

Almost surely, 229433162 is an apocalyptic number.

29433162 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 29433162, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33566400).

29433162 is an abundant number, since it is smaller than the sum of its proper divisors (37699638).

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

29433162 is a wasteful number, since it uses less digits than its factorization.

29433162 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279.

The product of its digits is 7776, while the sum is 30.

The square root of 29433162 is about 5425.2338198459. The cubic root of 29433162 is about 308.7537968248.

It can be divided in two parts, 2943 and 3162, that added together give a triangular number (6105 = T110).

The spelling of 29433162 in words is "twenty-nine million, four hundred thirty-three thousand, one hundred sixty-two".

Divisors: 1 2 3 6 11 22 33 41 66 73 82 123 146 149 219 246 298 438 447 451 803 894 902 1353 1606 1639 2409 2706 2993 3278 4818 4917 5986 6109 8979 9834 10877 12218 17958 18327 21754 32631 32923 36654 65262 65846 67199 98769 119647 134398 197538 201597 239294 358941 403194 445957 717882 891914 1337871 2675742 4905527 9811054 14716581 29433162