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29886016 = 262379257
BaseRepresentation
bin111001000000…
…0011001000000
32002020100220111
41302000121000
530122323031
62544321104
7512012146
oct162003100
962210814
1029886016
1115962896
12a013194
136265144
143d7d596
1529551b1
hex1c80640

29886016 has 56 divisors (see below), whose sum is σ = 62910720. Its totient is φ = 14057472.

The previous prime is 29885987. The next prime is 29886023. The reversal of 29886016 is 61068892.

It is a self number, because there is not a number n which added to its sum of digits gives 29886016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116160 + ... + 116416.

Almost surely, 229886016 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 29886016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31455360).

29886016 is an abundant number, since it is smaller than the sum of its proper divisors (33024704).

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

29886016 is a wasteful number, since it uses less digits than its factorization.

29886016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 40.

The square root of 29886016 is about 5466.8104046144. The cubic root of 29886016 is about 310.3292235980.

The spelling of 29886016 in words is "twenty-nine million, eight hundred eighty-six thousand, sixteen".

Divisors: 1 2 4 8 16 23 32 46 64 79 92 158 184 257 316 368 514 632 736 1028 1264 1472 1817 2056 2528 3634 4112 5056 5911 7268 8224 11822 14536 16448 20303 23644 29072 40606 47288 58144 81212 94576 116288 162424 189152 324848 378304 466969 649696 933938 1299392 1867876 3735752 7471504 14943008 29886016