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33482729 = 721096269
BaseRepresentation
bin111111110111…
…0011111101001
32100000002200002
41333232133221
532032421404
63153352345
7554412200
oct177563751
970002602
1033482729
111799a085
12b2686b5
136c24287
144638237
152e15c1e
hex1fee7e9

33482729 has 12 divisors (see below), whose sum is σ = 39312900. Its totient is φ = 28431648.

The previous prime is 33482671. The next prime is 33482747. The reversal of 33482729 is 92728433.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 16999129 + 16483600 = 4123^2 + 4060^2 .

It is a de Polignac number, because none of the positive numbers 2k-33482729 is a prime.

It is a super-2 number, since 2×334827292 = 2242186282574882, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 33482692 and 33482701.

It is not an unprimeable number, because it can be changed into a prime (33482789) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2207 + ... + 8475.

It is an arithmetic number, because the mean of its divisors is an integer number (3276075).

Almost surely, 233482729 is an apocalyptic number.

It is an amenable number.

33482729 is a deficient number, since it is larger than the sum of its proper divisors (5830171).

33482729 is a wasteful number, since it uses less digits than its factorization.

33482729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6392 (or 6385 counting only the distinct ones).

The product of its digits is 72576, while the sum is 38.

The square root of 33482729 is about 5786.4262718884. The cubic root of 33482729 is about 322.3098781253.

The spelling of 33482729 in words is "thirty-three million, four hundred eighty-two thousand, seven hundred twenty-nine".

Divisors: 1 7 49 109 763 5341 6269 43883 307181 683321 4783247 33482729