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29912168 = 23112132377
BaseRepresentation
bin111001000011…
…0110001101000
32002021200210002
41302012301220
530124142133
62545042132
7512151326
oct162066150
962250702
1029912168
1115980500
12a026348
136274010
143d88d16
15295cce8
hex1c86c68

29912168 has 48 divisors (see below), whose sum is σ = 66417540. Its totient is φ = 12545280.

The previous prime is 29912149. The next prime is 29912177. The reversal of 29912168 is 86121992.

It can be written as a sum of positive squares in 2 ways, for example, as 28111204 + 1800964 = 5302^2 + 1342^2 .

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 11 ways as a sum of consecutive naturals, for example, 11396 + ... + 13772.

Almost surely, 229912168 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 29912168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33208770).

29912168 is an abundant number, since it is smaller than the sum of its proper divisors (36505372).

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

29912168 is a wasteful number, since it uses less digits than its factorization.

29912168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2418 (or 2403 counting only the distinct ones).

The product of its digits is 15552, while the sum is 38.

The square root of 29912168 is about 5469.2017699112. The cubic root of 29912168 is about 310.4197159068.

The spelling of 29912168 in words is "twenty-nine million, nine hundred twelve thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 121 143 242 286 484 572 968 1144 1573 2377 3146 4754 6292 9508 12584 19016 26147 30901 52294 61802 104588 123604 209176 247208 287617 339911 575234 679822 1150468 1359644 2300936 2719288 3739021 7478042 14956084 29912168