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67682628 = 22341316069
BaseRepresentation
bin1000000100011…
…00000101000100
311201100122010000
410002030011010
5114311321003
610414401300
71451202306
oct402140504
9151318100
1067682628
1135228a62
121a800230
1311039ac0
148dbb976
155e1e1a3
hex408c144

67682628 has 60 divisors (see below), whose sum is σ = 190558060. Its totient is φ = 20824128.

The previous prime is 67682621. The next prime is 67682633. The reversal of 67682628 is 82628676.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 13483584 + 54199044 = 3672^2 + 7362^2 .

It is not an unprimeable number, because it can be changed into a prime (67682621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3823 + ... + 12246.

Almost surely, 267682628 is an apocalyptic number.

It is an amenable number.

67682628 is an abundant number, since it is smaller than the sum of its proper divisors (122875432).

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

67682628 is a wasteful number, since it uses less digits than its factorization.

67682628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16098 (or 16087 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 67682628 is about 8226.9452410965. The cubic root of 67682628 is about 407.5295182301.

The spelling of 67682628 in words is "sixty-seven million, six hundred eighty-two thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 324 351 468 702 1053 1404 2106 4212 16069 32138 48207 64276 96414 144621 192828 208897 289242 417794 433863 578484 626691 835588 867726 1253382 1301589 1735452 1880073 2506764 2603178 3760146 5206356 5640219 7520292 11280438 16920657 22560876 33841314 67682628