Bradman made 28, 067 first-class runs during his illustrious career, with 38-year-old Langer now on 28, 062.
Bradman had given the cap to his English godson, who opted to sell it.
The design was chosen by the Bradman Foundation in preference to one of him playing a cover drive.
Langer broke Sir Don Bradman's record as he took his overnight 89 to 107 before falling to Matt Mason.
In a match against Western Ontario, Bradman scored 260 runs - a Canadian record which stood for 58 years.
He joins the great Sir Don Bradman with 29 Test tons, while Sachin Tendulkar has the record on 37.
The statue, named The Final Salute, stands at the Bradman Museum in Bowral, and was made by artist Tanya Bartlett.
"Anything that is linked to Bradman now sells at a large premium, " said Richard Mulvaney, curator of the Bradman Museum.
Only Sri Lanka's slow over-rate stopped him having a stab at Don Bradman's record haul in a day's play, 309.
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Langer was six runs short of beating Sir Don Bradman's record of first-class runs scored by an Australian at stumps.
His ashes were later scattered at the Bradman Oval in Bowral, a ground which is regularly visited by sides touring Australia.
Bradman grew up in Bowral, which lies 50 miles south west of Sydney and made his first hundred for the local High School.
Taylor famously declared an innings against Pakistan in 1998 when he had equalled Bradman's score, but Hayden admitted it did not concern him.
Tendulkar was regarded by the late Sir Don Bradman as the one batsman of the modern era who most reminded him of himself.
Adelaide officials deny this and say delegates got only a cricket bat signed by Australian great Sir Donald Bradman, boomerangs, T-shirts and keyrings.
Sir Don Bradman made centuries in six consecutive Tests in 1937-38.
Headingley is often associated with bowling and overcast conditions, but the great batsmen have prospered there, and a certain D Bradman scored two triple centuries.
Between that time and the Second World War there were a number of cricketing highlights, including a 1932 tour by an Australia squad including Don Bradman.
The South Australia star, the 2003-04 Bradman Young Cricketer of the Year, has taken 23 wickets in 12 Twenty20 games at an average of 14.08 runs.
It was bought by an unnamed businessman at an auction in London and the sum paid is believed to be a record for a piece of Bradman memorabilia.
Cook's 235 not out was the sixth best Ashes score by an Englishman and he also surpassed Sir Don Bradman for the highest Test score at the Gabba.
Worcestershire's woes were in start contrast to the visitors, who saw Langer pass Bradman's milestone 20 minutes after the start of play when he drove Matt Mason for four.
India's top batsman, Sachin Tendulkar, is considered by no less a judge than the greatest of all batsmen, Sir Don Bradman, to be in the same class as himself.
They made enough money to buy a farm where the young Ali developed an appetite for cricket, reading all he could about Don Bradman and other heroes of the era.
Don't disrespect the fan, Rahul Dravid eloquently said at last year's Bradman Oration, and to expect fans to flock to cheer non-performing cricketers at the highest level is a bit fey.
Ludgrove's said the price paid for Bradman's last-Test cap surpassed the previous record set by the cap he wore in the 1947-48 series against India, during which he made his 100th first-class century.
"Overtaking Bradman sits uncomfortably, and so it should, but I was never haunted by the record as I'm sure he would have had an enormous amount of respect for anyone who reached it, " he said.
Mason eventually got his revenge when he had Langer caught at cover, by which time he had 13 more runs to his name than Bradman - 28, 080 compared to 28, 067 - albeit from 277 more innings.
Dravid also became the first non-Australian to perform the prestigious Bradman Oration on the state of the game in December 2011 -- named after the late Don Bradman, widely regarded as the best batsman of all time.
Tamim looked as though he was going to score a Test century before the lunch interval, becoming only the fifth batsman to do so, after Australians Victor Trumper, Charles Macartney and Don Bradman, and Pakistan's Majid Khan.
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