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84428832 = 2533312657
BaseRepresentation
bin1010000100001…
…00100000100000
312212212102120210
411002010200200
5133103210312
612213334120
72043430125
oct502044040
9185772523
1084428832
11437266a4
1224337340
13146511b7
14b2da74c
15762ae3c
hex5084820

84428832 has 48 divisors (see below), whose sum is σ = 222378912. Its totient is φ = 28047360.

The previous prime is 84428821. The next prime is 84428833. The reversal of 84428832 is 23882448.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (84428833) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30448 + ... + 33104.

It is an arithmetic number, because the mean of its divisors is an integer number (4632894).

Almost surely, 284428832 is an apocalyptic number.

It is an amenable number.

84428832 is an abundant number, since it is smaller than the sum of its proper divisors (137950080).

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

84428832 is a wasteful number, since it uses less digits than its factorization.

84428832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3001 (or 2993 counting only the distinct ones).

The product of its digits is 98304, while the sum is 39.

The square root of 84428832 is about 9188.5163111353. The cubic root of 84428832 is about 438.6959183671.

The spelling of 84428832 in words is "eighty-four million, four hundred twenty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 331 662 993 1324 1986 2648 2657 3972 5296 5314 7944 7971 10592 10628 15888 15942 21256 31776 31884 42512 63768 85024 127536 255072 879467 1758934 2638401 3517868 5276802 7035736 10553604 14071472 21107208 28142944 42214416 84428832