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83832768 = 2632145543
BaseRepresentation
bin1001111111100…
…10111111000000
312211202010221100
410333302333000
5132430122033
612152454400
72035365255
oct477627700
9184663840
1083832768
1143359888
12240aa400
13144a2ab6
14b1c342c
15755e513
hex4ff2fc0

83832768 has 42 divisors (see below), whose sum is σ = 240293144. Its totient is φ = 27944064.

The previous prime is 83832761. The next prime is 83832781. The reversal of 83832768 is 86723838.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83832761) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 72196 + ... + 73347.

Almost surely, 283832768 is an apocalyptic number.

It is an amenable number.

83832768 is an abundant number, since it is smaller than the sum of its proper divisors (156460376).

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

83832768 is a wasteful number, since it uses less digits than its factorization.

83832768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145561 (or 145548 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 83832768 is about 9156.0235910574. The cubic root of 83832768 is about 437.6610876734.

The spelling of 83832768 in words is "eighty-three million, eight hundred thirty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 145543 291086 436629 582172 873258 1164344 1309887 1746516 2328688 2619774 3493032 4657376 5239548 6986064 9314752 10479096 13972128 20958192 27944256 41916384 83832768