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29988612 = 223217192579
BaseRepresentation
bin111001001100…
…1011100000100
32002102120122100
41302121130010
530134113422
62550432100
7512620233
oct162313404
962376570
1029988612
1115a22985
12a062630
13629ca54
143da8b1a
1529757ac
hex1c99704

29988612 has 72 divisors (see below), whose sum is σ = 84520800. Its totient is φ = 8909568.

The previous prime is 29988599. The next prime is 29988613. The reversal of 29988612 is 21688992.

29988612 is a `hidden beast` number, since 29 + 9 + 8 + 8 + 612 = 666.

It is not an unprimeable number, because it can be changed into a prime (29988613) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 10339 + ... + 12917.

It is an arithmetic number, because the mean of its divisors is an integer number (1173900).

Almost surely, 229988612 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 29988612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42260400).

29988612 is an abundant number, since it is smaller than the sum of its proper divisors (54532188).

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

29988612 is a wasteful number, since it uses less digits than its factorization.

29988612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2625 (or 2620 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 29988612 is about 5476.1858989629. The cubic root of 29988612 is about 310.6839287708.

It can be divided in two parts, 29988 and 612, that multiplied together give a square (18352656 = 42842).

The spelling of 29988612 in words is "twenty-nine million, nine hundred eighty-eight thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 19 34 36 38 51 57 68 76 102 114 153 171 204 228 306 323 342 612 646 684 969 1292 1938 2579 2907 3876 5158 5814 7737 10316 11628 15474 23211 30948 43843 46422 49001 87686 92844 98002 131529 147003 175372 196004 263058 294006 394587 441009 526116 588012 789174 833017 882018 1578348 1666034 1764036 2499051 3332068 4998102 7497153 9996204 14994306 29988612