Search a number
-
+
29308768 = 254189251
BaseRepresentation
bin110111111001…
…1011101100000
32001011001001221
41233303131200
530000340033
62524104424
7504056206
oct157633540
961131057
1029308768
11155a9125
129995114
1360c2488
143c6d076
15288e12d
hex1bf3760

29308768 has 48 divisors (see below), whose sum is σ = 60011280. Its totient is φ = 14080000.

The previous prime is 29308751. The next prime is 29308771. The reversal of 29308768 is 86780392.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116643 + ... + 116893.

It is an arithmetic number, because the mean of its divisors is an integer number (1250235).

Almost surely, 229308768 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 29308768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30005640).

29308768 is an abundant number, since it is smaller than the sum of its proper divisors (30702512).

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

29308768 is a wasteful number, since it uses less digits than its factorization.

29308768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The square root of 29308768 is about 5413.7572904592. The cubic root of 29308768 is about 308.3182183646.

The spelling of 29308768 in words is "twenty-nine million, three hundred eight thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 32 41 82 89 164 178 251 328 356 502 656 712 1004 1312 1424 2008 2848 3649 4016 7298 8032 10291 14596 20582 22339 29192 41164 44678 58384 82328 89356 116768 164656 178712 329312 357424 714848 915899 1831798 3663596 7327192 14654384 29308768