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29065728 = 293127149
BaseRepresentation
bin110111011100…
…0001000000000
32000200200200110
41232320020000
524420100403
62514551320
7502024506
oct156701000
960620613
1029065728
111545256a
129898540
136038973
143c08676
152842103
hex1bb8200

29065728 has 80 divisors (see below), whose sum is σ = 78566400. Its totient is φ = 9547776.

The previous prime is 29065723. The next prime is 29065769. The reversal of 29065728 is 82756092.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (29065723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 194998 + ... + 195146.

It is an arithmetic number, because the mean of its divisors is an integer number (982080).

Almost surely, 229065728 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 29065728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39283200).

29065728 is an abundant number, since it is smaller than the sum of its proper divisors (49500672).

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

29065728 is a wasteful number, since it uses less digits than its factorization.

29065728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 29065728 is about 5391.2640447301. The cubic root of 29065728 is about 307.4636192004.

The spelling of 29065728 in words is "twenty-nine million, sixty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 128 149 192 254 256 298 381 384 447 508 512 596 762 768 894 1016 1192 1524 1536 1788 2032 2384 3048 3576 4064 4768 6096 7152 8128 9536 12192 14304 16256 18923 19072 24384 28608 32512 37846 38144 48768 56769 57216 65024 75692 76288 97536 113538 114432 151384 195072 227076 228864 302768 454152 605536 908304 1211072 1816608 2422144 3633216 4844288 7266432 9688576 14532864 29065728