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29009214 = 23213151821
BaseRepresentation
bin110111010101…
…0010100111110
32000120211011100
41232222110332
524411243324
62513433530
7501400653
oct156522476
960524140
1029009214
1115414063
12986b8a6
136019020
143bd1c2a
1528304c9
hex1baa53e

29009214 has 48 divisors (see below), whose sum is σ = 68219424. Its totient is φ = 8856000.

The previous prime is 29009207. The next prime is 29009231. The reversal of 29009214 is 41290092.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34924 + ... + 35744.

It is an arithmetic number, because the mean of its divisors is an integer number (1421238).

Almost surely, 229009214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29009214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34109712).

29009214 is an abundant number, since it is smaller than the sum of its proper divisors (39210210).

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

29009214 is a wasteful number, since it uses less digits than its factorization.

29009214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 29009214 is about 5386.0202376152. The cubic root of 29009214 is about 307.2642174303.

The spelling of 29009214 in words is "twenty-nine million, nine thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 151 234 302 453 821 906 1359 1642 1963 2463 2718 3926 4926 5889 7389 10673 11778 14778 17667 21346 32019 35334 64038 96057 123971 192114 247942 371913 743826 1115739 1611623 2231478 3223246 4834869 9669738 14504607 29009214