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29884272 = 2431156599
BaseRepresentation
bin111000111111…
…1111101110000
32002020021111220
41301333331300
530122244042
62544305040
7512004105
oct161777560
962207456
1029884272
1115961550
12a012180
136264402
143d7caac
1529548ec
hex1c7ff70

29884272 has 40 divisors (see below), whose sum is σ = 84220800. Its totient is φ = 9055680.

The previous prime is 29884201. The next prime is 29884273. The reversal of 29884272 is 27248892.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29884273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27772 + ... + 28827.

It is an arithmetic number, because the mean of its divisors is an integer number (2105520).

Almost surely, 229884272 is an apocalyptic number.

29884272 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

29884272 is an abundant number, since it is smaller than the sum of its proper divisors (54336528).

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

29884272 is a wasteful number, since it uses less digits than its factorization.

29884272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56621 (or 56615 counting only the distinct ones).

The product of its digits is 129024, while the sum is 42.

The square root of 29884272 is about 5466.6508942862. The cubic root of 29884272 is about 310.3231870547.

It can be divided in two parts, 2988 and 4272, that added together give a triangular number (7260 = T120).

The spelling of 29884272 in words is "twenty-nine million, eight hundred eighty-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 56599 113198 169797 226396 339594 452792 622589 679188 905584 1245178 1358376 1867767 2490356 2716752 3735534 4980712 7471068 9961424 14942136 29884272