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84065616 = 2432583789
BaseRepresentation
bin1010000001010…
…11110101010000
312212011222100100
411000223311100
5133010044431
612201452400
72040355155
oct500536520
9185158310
1084065616
11434a8818
12241a1100
1314554a8b
14b24422c
1575a84e6
hex502bd50

84065616 has 30 divisors (see below), whose sum is σ = 235267370. Its totient is φ = 28021824.

The previous prime is 84065609. The next prime is 84065659. The reversal of 84065616 is 61656048.

It can be written as a sum of positive squares in only one way, i.e., 65610000 + 18455616 = 8100^2 + 4296^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 291751 + ... + 292038.

Almost surely, 284065616 is an apocalyptic number.

It is an amenable number.

84065616 is an abundant number, since it is smaller than the sum of its proper divisors (151201754).

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

84065616 is a wasteful number, since it uses less digits than its factorization.

84065616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583803 (or 583794 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 84065616 is about 9168.7303374022. The cubic root of 84065616 is about 438.0659186458.

It can be divided in two parts, 84065 and 616, that added together give a square (84681 = 2912).

The spelling of 84065616 in words is "eighty-four million, sixty-five thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 583789 1167578 1751367 2335156 3502734 4670312 5254101 7005468 9340624 10508202 14010936 21016404 28021872 42032808 84065616