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83069072 = 2417305401
BaseRepresentation
bin1001111001110…
…00100010010000
312210022100100022
410330320202100
5132231202242
612124243012
72026034612
oct474704220
9183270308
1083069072
1142988029
12239a0468
13142962c8
14b064db2
15745d0d2
hex4f38890

83069072 has 20 divisors (see below), whose sum is σ = 170414316. Its totient is φ = 39091200.

The previous prime is 83069071. The next prime is 83069081. The reversal of 83069072 is 27096038.

It can be written as a sum of positive squares in 2 ways, for example, as 24760576 + 58308496 = 4976^2 + 7636^2 .

It is not an unprimeable number, because it can be changed into a prime (83069071) 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, 152429 + ... + 152972.

Almost surely, 283069072 is an apocalyptic number.

It is an amenable number.

83069072 is an abundant number, since it is smaller than the sum of its proper divisors (87345244).

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

83069072 is a wasteful number, since it uses less digits than its factorization.

83069072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305426 (or 305420 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 83069072 is about 9114.2236092824. The cubic root of 83069072 is about 436.3280363844.

The spelling of 83069072 in words is "eighty-three million, sixty-nine thousand, seventy-two".

Divisors: 1 2 4 8 16 17 34 68 136 272 305401 610802 1221604 2443208 4886416 5191817 10383634 20767268 41534536 83069072