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83281329 = 3252117761
BaseRepresentation
bin1001111011011…
…00010110110001
312210201010111200
410331230112301
5132310000304
612133001413
72030610465
oct475542661
9183633450
1083281329
114301254a
1223a83269
131433bac1
14b0bc4a5
1574a0e39
hex4f6c5b1

83281329 has 12 divisors (see below), whose sum is σ = 120532932. Its totient is φ = 55411200.

The previous prime is 83281327. The next prime is 83281333. The reversal of 83281329 is 92318238.

It is a happy number.

83281329 is a `hidden beast` number, since 8 + 328 + 1 + 329 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 26625600 + 56655729 = 5160^2 + 7527^2 .

It is not a de Polignac number, because 83281329 - 21 = 83281327 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 83281293 and 83281302.

It is not an unprimeable number, because it can be changed into a prime (83281327) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4192 + ... + 13569.

It is an arithmetic number, because the mean of its divisors is an integer number (10044411).

Almost surely, 283281329 is an apocalyptic number.

It is an amenable number.

83281329 is a deficient number, since it is larger than the sum of its proper divisors (37251603).

83281329 is a wasteful number, since it uses less digits than its factorization.

83281329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18288 (or 18285 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 83281329 is about 9125.8604525820. The cubic root of 83281329 is about 436.6993535218.

The spelling of 83281329 in words is "eighty-three million, two hundred eighty-one thousand, three hundred twenty-nine".

Divisors: 1 3 9 521 1563 4689 17761 53283 159849 9253481 27760443 83281329