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83009064 = 2338833917
BaseRepresentation
bin1001111001010…
…01111000101000
312210012022000210
410330221320220
5132222242224
612123101120
72025364635
oct474517050
9183168023
1083009064
1142946a36
12239717a0
1314274bb8
14b04b18c
15744a429
hex4f29e28

83009064 has 32 divisors (see below), whose sum is σ = 207810720. Its totient is φ = 27631296.

The previous prime is 83009053. The next prime is 83009083. The reversal of 83009064 is 46090038.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19234 + ... + 23150.

It is an arithmetic number, because the mean of its divisors is an integer number (6494085).

Almost surely, 283009064 is an apocalyptic number.

It is an amenable number.

83009064 is an abundant number, since it is smaller than the sum of its proper divisors (124801656).

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

83009064 is a wasteful number, since it uses less digits than its factorization.

83009064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4809 (or 4805 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 83009064 is about 9110.9310171903. The cubic root of 83009064 is about 436.2229452055. Note that the first 3 decimals are identical.

The spelling of 83009064 in words is "eighty-three million, nine thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 24 883 1766 2649 3532 3917 5298 7064 7834 10596 11751 15668 21192 23502 31336 47004 94008 3458711 6917422 10376133 13834844 20752266 27669688 41504532 83009064