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83868336 = 2432582419
BaseRepresentation
bin1001111111110…
…11101010110000
312211210221201200
410333323222300
5132432241321
612153331200
72035604046
oct477735260
9184727650
1083868336
1143383582
1224106b00
13144b6046
14b1d2396
157569d26
hex4ffbab0

83868336 has 30 divisors (see below), whose sum is σ = 234715260. Its totient is φ = 27956064.

The previous prime is 83868331. The next prime is 83868353. The reversal of 83868336 is 63386838.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 83868291 and 83868300.

It is not an unprimeable number, because it can be changed into a prime (83868331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 291066 + ... + 291353.

It is an arithmetic number, because the mean of its divisors is an integer number (7823842).

Almost surely, 283868336 is an apocalyptic number.

It is an amenable number.

83868336 is an abundant number, since it is smaller than the sum of its proper divisors (150846924).

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

83868336 is a wasteful number, since it uses less digits than its factorization.

83868336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582433 (or 582424 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 83868336 is about 9157.9657129736. The cubic root of 83868336 is about 437.7229748842.

The spelling of 83868336 in words is "eighty-three million, eight hundred sixty-eight thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 582419 1164838 1747257 2329676 3494514 4659352 5241771 6989028 9318704 10483542 13978056 20967084 27956112 41934168 83868336