Search a number
-
+
29450016 = 2532293349
BaseRepresentation
bin111000001010…
…1111100100000
32001102012211100
41300111330200
530014400031
62531114400
7505215051
oct160257440
961365740
1029450016
1115695262
129a42a00
13614185b
143ca8728
1528bade6
hex1c15f20

29450016 has 72 divisors (see below), whose sum is σ = 84275100. Its totient is φ = 9755136.

The previous prime is 29450009. The next prime is 29450017. The reversal of 29450016 is 61005492.

It can be written as a sum of positive squares in 2 ways, for example, as 25040016 + 4410000 = 5004^2 + 2100^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (29450017) 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 11 ways as a sum of consecutive naturals, for example, 84210 + ... + 84558.

Almost surely, 229450016 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 29450016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42137550).

29450016 is an abundant number, since it is smaller than the sum of its proper divisors (54825084).

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

29450016 is a wasteful number, since it uses less digits than its factorization.

29450016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 29450016 is about 5426.7868946551. The cubic root of 29450016 is about 308.8127183858.

The spelling of 29450016 in words is "twenty-nine million, four hundred fifty thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 293 349 586 698 879 1047 1172 1396 1758 2094 2344 2637 2792 3141 3516 4188 4688 5274 5584 6282 7032 8376 9376 10548 11168 12564 14064 16752 21096 25128 28128 33504 42192 50256 84384 100512 102257 204514 306771 409028 613542 818056 920313 1227084 1636112 1840626 2454168 3272224 3681252 4908336 7362504 9816672 14725008 29450016