Search a number
-
+
29500068 = 223131271489
BaseRepresentation
bin111000010001…
…0001010100100
32001111202111010
41300202022210
530023000233
62532142220
7505514013
oct160421244
961452433
1029500068
1115719924
129a67970
13615b580
143cbca7a
1528cab63
hex1c222a4

29500068 has 48 divisors (see below), whose sum is σ = 74762240. Its totient is φ = 8999424.

The previous prime is 29500061. The next prime is 29500091. The reversal of 29500068 is 86000592.

It is not an unprimeable number, because it can be changed into a prime (29500061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19068 + ... + 20556.

Almost surely, 229500068 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 29500068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37381120).

29500068 is an abundant number, since it is smaller than the sum of its proper divisors (45262172).

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

29500068 is a wasteful number, since it uses less digits than its factorization.

29500068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1636 (or 1634 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 29500068 is about 5431.3965055039. The cubic root of 29500068 is about 308.9875677071.

The spelling of 29500068 in words is "twenty-nine million, five hundred thousand, sixty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 127 156 254 381 508 762 1489 1524 1651 2978 3302 4467 4953 5956 6604 8934 9906 17868 19357 19812 38714 58071 77428 116142 189103 232284 378206 567309 756412 1134618 2269236 2458339 4916678 7375017 9833356 14750034 29500068