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29334272 = 28112947
BaseRepresentation
bin110111111100…
…1101100000000
32001012100001112
41233321230000
530002144042
62524422452
7504223442
oct157715400
961170045
1029334272
1115616300
1299a7a28
136100c76
143c78492
152896982
hex1bf9b00

29334272 has 54 divisors (see below), whose sum is σ = 64428924. Its totient is φ = 13319680.

The previous prime is 29334257. The next prime is 29334307. The reversal of 29334272 is 27243392.

It is a happy number.

29334272 is nontrivially palindromic in base 15.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 30503 + ... + 31449.

Almost surely, 229334272 is an apocalyptic number.

29334272 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29334272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32214462).

29334272 is an abundant number, since it is smaller than the sum of its proper divisors (35094652).

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

29334272 is an equidigital number, since it uses as much as digits as its factorization.

29334272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985 (or 960 counting only the distinct ones).

The product of its digits is 18144, while the sum is 32.

The square root of 29334272 is about 5416.1122588070. The cubic root of 29334272 is about 308.4076235567.

The spelling of 29334272 in words is "twenty-nine million, three hundred thirty-four thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 704 947 968 1408 1894 1936 2816 3788 3872 7576 7744 10417 15152 15488 20834 30304 30976 41668 60608 83336 114587 121216 166672 229174 242432 333344 458348 666688 916696 1333376 1833392 2666752 3666784 7333568 14667136 29334272