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29830866 = 231333173
BaseRepresentation
bin111000111001…
…0111011010010
32002010120020220
41301302323102
530114041431
62543213510
7511362312
oct161627322
962116226
1029830866
111592540a
129ba7296
136246000
143d67442
152943b96
hex1c72ed2

29830866 has 64 divisors (see below), whose sum is σ = 67630080. Its totient is φ = 8760960.

The previous prime is 29830859. The next prime is 29830907. The reversal of 29830866 is 66803892.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 408606 + ... + 408678.

It is an arithmetic number, because the mean of its divisors is an integer number (1056720).

Almost surely, 229830866 is an apocalyptic number.

29830866 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 29830866, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33815040).

29830866 is an abundant number, since it is smaller than the sum of its proper divisors (37799214).

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

29830866 is a wasteful number, since it uses less digits than its factorization.

29830866 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 29830866 is about 5461.7640007602. The cubic root of 29830866 is about 310.1382179343.

The spelling of 29830866 in words is "twenty-nine million, eight hundred thirty thousand, eight hundred sixty-six".

Divisors: 1 2 3 6 13 26 31 39 62 73 78 93 146 169 186 219 338 403 438 507 806 949 1014 1209 1898 2197 2263 2418 2847 4394 4526 5239 5694 6591 6789 10478 12337 13182 13578 15717 24674 29419 31434 37011 58838 68107 74022 88257 136214 160381 176514 204321 320762 382447 408642 481143 764894 962286 1147341 2294682 4971811 9943622 14915433 29830866