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29006208 = 2733711109
BaseRepresentation
bin110111010100…
…1100110000000
32000120200001000
41232221212000
524411144313
62513412000
7501356130
oct156514600
960520030
1029006208
1115411880
12986a000
13601784a
143bd0ac0
15282e673
hex1ba9980

29006208 has 256 divisors, whose sum is σ = 107712000. Its totient is φ = 7464960.

The previous prime is 29006183. The next prime is 29006213. The reversal of 29006208 is 80260092.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 266058 + ... + 266166.

It is an arithmetic number, because the mean of its divisors is an integer number (420750).

Almost surely, 229006208 is an apocalyptic number.

29006208 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 29006208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53856000).

29006208 is an abundant number, since it is smaller than the sum of its proper divisors (78705792).

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

29006208 is a wasteful number, since it uses less digits than its factorization.

29006208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 29006208 is about 5385.7411746203. The cubic root of 29006208 is about 307.2536039273.

The spelling of 29006208 in words is "twenty-nine million, six thousand, two hundred eight".