Search a number
-
+
29305008 = 24321711971
BaseRepresentation
bin110111111001…
…0100010110000
32001010211220200
41233302202300
530000230013
62524035200
7504042225
oct157624260
961124820
1029305008
11155a6317
129992b00
1360c0855
143c6b94c
15288ce73
hex1bf28b0

29305008 has 60 divisors (see below), whose sum is σ = 86844888. Its totient is φ = 9192960.

The previous prime is 29304997. The next prime is 29305021. The reversal of 29305008 is 80050392.

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 11 ways as a sum of consecutive naturals, for example, 3538 + ... + 8433.

Almost surely, 229305008 is an apocalyptic number.

It is an amenable number.

29305008 is an abundant number, since it is smaller than the sum of its proper divisors (57539880).

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

29305008 is a wasteful number, since it uses less digits than its factorization.

29305008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12002 (or 11993 counting only the distinct ones).

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

The square root of 29305008 is about 5413.4100158772. The cubic root of 29305008 is about 308.3050331627.

The spelling of 29305008 in words is "twenty-nine million, three hundred five thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 2448 11971 23942 35913 47884 71826 95768 107739 143652 191536 203507 215478 287304 407014 430956 574608 610521 814028 861912 1221042 1628056 1723824 1831563 2442084 3256112 3663126 4884168 7326252 9768336 14652504 29305008