Search a number
-
+
29836728 = 2333472939
BaseRepresentation
bin111000111010…
…0010110111000
32002010212022000
41301310112320
530114233403
62543301000
7511415355
oct161642670
962125260
1029836728
1115929859
129baa760
13624888c
143d6962c
1529457a3
hex1c745b8

29836728 has 64 divisors (see below), whose sum is σ = 84672000. Its totient is φ = 9730656.

The previous prime is 29836699. The next prime is 29836739. The reversal of 29836728 is 82763892.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8683 + ... + 11621.

It is an arithmetic number, because the mean of its divisors is an integer number (1323000).

Almost surely, 229836728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29836728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42336000).

29836728 is an abundant number, since it is smaller than the sum of its proper divisors (54835272).

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

29836728 is a wasteful number, since it uses less digits than its factorization.

29836728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3001 (or 2991 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 29836728 is about 5462.3006142101. The cubic root of 29836728 is about 310.1585314708.

The spelling of 29836728 in words is "twenty-nine million, eight hundred thirty-six thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 47 54 72 94 108 141 188 216 282 376 423 564 846 1128 1269 1692 2538 2939 3384 5076 5878 8817 10152 11756 17634 23512 26451 35268 52902 70536 79353 105804 138133 158706 211608 276266 317412 414399 552532 634824 828798 1105064 1243197 1657596 2486394 3315192 3729591 4972788 7459182 9945576 14918364 29836728