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84483432 = 23331131237
BaseRepresentation
bin1010000100100…
…01110101101000
312212222012111000
411002101311220
5133111432212
612214435000
72044045245
oct502216550
9185865430
1084483432
1143763720
1224362a60
131466ccc7
14b3125cc
15763c1dc
hex5091d68

84483432 has 192 divisors, whose sum is σ = 271684800. Its totient is φ = 24105600.

The previous prime is 84483383. The next prime is 84483473. The reversal of 84483432 is 23438448.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2283318 + ... + 2283354.

It is an arithmetic number, because the mean of its divisors is an integer number (1415025).

Almost surely, 284483432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84483432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135842400).

84483432 is an abundant number, since it is smaller than the sum of its proper divisors (187201368).

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

84483432 is a wasteful number, since it uses less digits than its factorization.

84483432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 84 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 84483432 is about 9191.4869308507. The cubic root of 84483432 is about 438.7904659879.

The spelling of 84483432 in words is "eighty-four million, four hundred eighty-three thousand, four hundred thirty-two".