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83249296 = 2413400237
BaseRepresentation
bin1001111011001…
…00100010010000
312210122111120021
410331210202100
5132302434141
612132153224
72030415214
oct475444220
9183574507
1083249296
1142aa0479
1223a68814
131432a350
14b0b0944
1574966d1
hex4f64890

83249296 has 20 divisors (see below), whose sum is σ = 173703292. Its totient is φ = 38422656.

The previous prime is 83249293. The next prime is 83249347. The reversal of 83249296 is 69294238.

It can be written as a sum of positive squares in 2 ways, for example, as 5456896 + 77792400 = 2336^2 + 8820^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83249293) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 199911 + ... + 200326.

Almost surely, 283249296 is an apocalyptic number.

It is an amenable number.

83249296 is an abundant number, since it is smaller than the sum of its proper divisors (90453996).

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

83249296 is a wasteful number, since it uses less digits than its factorization.

83249296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400258 (or 400252 counting only the distinct ones).

The product of its digits is 186624, while the sum is 43.

The square root of 83249296 is about 9124.1052164034. The cubic root of 83249296 is about 436.6433562393.

The spelling of 83249296 in words is "eighty-three million, two hundred forty-nine thousand, two hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 52 104 208 400237 800474 1600948 3201896 5203081 6403792 10406162 20812324 41624648 83249296