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29884672 = 281071091
BaseRepresentation
bin111001000000…
…0000100000000
32002020022001201
41302000010000
530122302142
62544310544
7512005216
oct162000400
962208051
1029884672
1115961884
12a012454
13626464c
143d7ccb6
152954ab7
hex1c80100

29884672 has 36 divisors (see below), whose sum is σ = 60265296. Its totient is φ = 14789120.

The previous prime is 29884649. The next prime is 29884717. The reversal of 29884672 is 27648892.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26847 + ... + 27937.

It is an arithmetic number, because the mean of its divisors is an integer number (1674036).

Almost surely, 229884672 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 29884672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30132648).

29884672 is an abundant number, since it is smaller than the sum of its proper divisors (30380624).

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

29884672 is a wasteful number, since it uses less digits than its factorization.

29884672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214 (or 1200 counting only the distinct ones).

The product of its digits is 387072, while the sum is 46.

The square root of 29884672 is about 5466.6874796352. The cubic root of 29884672 is about 310.3245716037.

The spelling of 29884672 in words is "twenty-nine million, eight hundred eighty-four thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 107 128 214 256 428 856 1091 1712 2182 3424 4364 6848 8728 13696 17456 27392 34912 69824 116737 139648 233474 279296 466948 933896 1867792 3735584 7471168 14942336 29884672