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67628029 = 729794217
BaseRepresentation
bin1000000011111…
…10101111111101
311201020212012211
410001332233331
5114303044104
610413300421
71450554160
oct401765775
9151225184
1067628029
11351a0a37
121a794711
131101acb1
148da5ad7
155e0ce04
hex407ebfd

67628029 has 16 divisors (see below), whose sum is σ = 80985600. Its totient is φ = 55246464.

The previous prime is 67628021. The next prime is 67628059. The reversal of 67628029 is 92082676.

It is not a de Polignac number, because 67628029 - 23 = 67628021 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 67627982 and 67628000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67628021) 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 15 ways as a sum of consecutive naturals, for example, 13929 + ... + 18145.

It is an arithmetic number, because the mean of its divisors is an integer number (5061600).

Almost surely, 267628029 is an apocalyptic number.

It is an amenable number.

67628029 is a deficient number, since it is larger than the sum of its proper divisors (13357571).

67628029 is a wasteful number, since it uses less digits than its factorization.

67628029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4332.

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 67628029 is about 8223.6262682590. The cubic root of 67628029 is about 407.4199052188.

The spelling of 67628029 in words is "sixty-seven million, six hundred twenty-eight thousand, twenty-nine".

Divisors: 1 7 29 79 203 553 2291 4217 16037 29519 122293 333143 856051 2332001 9661147 67628029