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83828768 = 2517154097
BaseRepresentation
bin1001111111100…
…10000000100000
312211201221110012
410333302000200
5132430010033
612152424052
72035350512
oct477620040
9184657405
1083828768
1143356881
12240a8028
13144a102a
14b1c1bb2
15755d248
hex4ff2020

83828768 has 24 divisors (see below), whose sum is σ = 174747132. Its totient is φ = 39448576.

The previous prime is 83828761. The next prime is 83828783. The reversal of 83828768 is 86782838.

It can be written as a sum of positive squares in 2 ways, for example, as 79780624 + 4048144 = 8932^2 + 2012^2 .

It is not an unprimeable number, because it can be changed into a prime (83828761) 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, 76505 + ... + 77592.

Almost surely, 283828768 is an apocalyptic number.

It is an amenable number.

83828768 is an abundant number, since it is smaller than the sum of its proper divisors (90918364).

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

83828768 is a wasteful number, since it uses less digits than its factorization.

83828768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154124 (or 154116 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 50.

The square root of 83828768 is about 9155.8051530163. The cubic root of 83828768 is about 437.6541267032.

The spelling of 83828768 in words is "eighty-three million, eight hundred twenty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 154097 308194 616388 1232776 2465552 2619649 4931104 5239298 10478596 20957192 41914384 83828768