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84139872 = 2534121377
BaseRepresentation
bin1010000001111…
…01111101100000
312212022202012120
411000331331200
5133014433442
612203224240
72041114515
oct500757540
9185282176
1084139872
1143549593
1224218080
131457c80b
14b26330c
1575c04ec
hex503df60

84139872 has 48 divisors (see below), whose sum is σ = 226264752. Its totient is φ = 27361280.

The previous prime is 84139843. The next prime is 84139879. The reversal of 84139872 is 27893148.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84139879) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 6753 + ... + 14624.

It is an arithmetic number, because the mean of its divisors is an integer number (4713849).

Almost surely, 284139872 is an apocalyptic number.

84139872 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

84139872 is an abundant number, since it is smaller than the sum of its proper divisors (142124880).

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

84139872 is a wasteful number, since it uses less digits than its factorization.

84139872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21431 (or 21423 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 84139872 is about 9172.7788592116. The cubic root of 84139872 is about 438.1948633573.

The spelling of 84139872 in words is "eighty-four million, one hundred thirty-nine thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 492 656 984 1312 1968 3936 21377 42754 64131 85508 128262 171016 256524 342032 513048 684064 876457 1026096 1752914 2052192 2629371 3505828 5258742 7011656 10517484 14023312 21034968 28046624 42069936 84139872