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29009466 = 23219271313
BaseRepresentation
bin110111010101…
…0011000111010
32000120211111200
41232222120322
524411300331
62513435030
7501401463
oct156523072
960524450
1029009466
1115414272
12986ba76
136019185
143bd1d6a
1528305e6
hex1baa63a

29009466 has 48 divisors (see below), whose sum is σ = 66618240. Its totient is φ = 9097920.

The previous prime is 29009423. The next prime is 29009479. The reversal of 29009466 is 66490092.

It is a self number, because there is not a number n which added to its sum of digits gives 29009466.

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, 92526 + ... + 92838.

It is an arithmetic number, because the mean of its divisors is an integer number (1387880).

Almost surely, 229009466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29009466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33309120).

29009466 is an abundant number, since it is smaller than the sum of its proper divisors (37608774).

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

29009466 is a wasteful number, since it uses less digits than its factorization.

29009466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 29009466 is about 5386.0436314609. The cubic root of 29009466 is about 307.2651071517.

The spelling of 29009466 in words is "twenty-nine million, nine thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 271 313 342 542 626 813 939 1626 1878 2439 2817 4878 5149 5634 5947 10298 11894 15447 17841 30894 35682 46341 53523 84823 92682 107046 169646 254469 508938 763407 1526814 1611637 3223274 4834911 9669822 14504733 29009466