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29309728 = 257235689
BaseRepresentation
bin110111111001…
…1101100100000
32001011002101111
41233303230200
530000402403
62524113104
7504062050
oct157635440
961132344
1029309728
11155a9918
129995794
1360c2a46
143c6d560
15288e56d
hex1bf3b20

29309728 has 48 divisors (see below), whose sum is σ = 68826240. Its totient is φ = 12013056.

The previous prime is 29309713. The next prime is 29309737. The reversal of 29309728 is 82790392.

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, 2308 + ... + 7996.

It is an arithmetic number, because the mean of its divisors is an integer number (1433880).

Almost surely, 229309728 is an apocalyptic number.

29309728 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29309728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34413120).

29309728 is an abundant number, since it is smaller than the sum of its proper divisors (39516512).

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

29309728 is a wasteful number, since it uses less digits than its factorization.

29309728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5729 (or 5721 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The square root of 29309728 is about 5413.8459527401. The cubic root of 29309728 is about 308.3215846185.

The spelling of 29309728 in words is "twenty-nine million, three hundred nine thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 92 112 161 184 224 322 368 644 736 1288 2576 5152 5689 11378 22756 39823 45512 79646 91024 130847 159292 182048 261694 318584 523388 637168 915929 1046776 1274336 1831858 2093552 3663716 4187104 7327432 14654864 29309728