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83483136 = 29351161
BaseRepresentation
bin1001111100111…
…01101000000000
312211002101100000
410332131220000
5132332430021
612141200000
72032411032
oct476355000
9184071300
1083483136
1143140130
1223b60000
13143ac909
14b131c52
1574e0b26
hex4f9da00

83483136 has 240 divisors, whose sum is σ = 277044768. Its totient is φ = 24883200.

The previous prime is 83483117. The next prime is 83483159. The reversal of 83483136 is 63138438.

It is a happy number.

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 and also a Zuckerman number because it is divisible by the product of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 83483136.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1368546 + ... + 1368606.

Almost surely, 283483136 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 83483136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138522384).

83483136 is an abundant number, since it is smaller than the sum of its proper divisors (193561632).

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

83483136 is an equidigital number, since it uses as much as digits as its factorization.

83483136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 77 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 83483136 is about 9136.9106376280. The cubic root of 83483136 is about 437.0518050599.

The spelling of 83483136 in words is "eighty-three million, four hundred eighty-three thousand, one hundred thirty-six".