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8065616 = 2413172281
BaseRepresentation
bin11110110001001001010000
3120011202221112
4132301021100
54031044431
6444512452
7125361626
oct36611120
916152845
108065616
1146098a9
12284b728
131895270
1410dd516
15a94c2b
hex7b1250

8065616 has 40 divisors (see below), whose sum is σ = 17826984. Its totient is φ = 3502080.

The previous prime is 8065613. The next prime is 8065619. The reversal of 8065616 is 6165608.

It is an interprime number because it is at equal distance from previous prime (8065613) and next prime (8065619).

It can be written as a sum of positive squares in 4 ways, for example, as 1201216 + 6864400 = 1096^2 + 2620^2 .

It is a super-2 number, since 2×80656162 = 130108322918912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8065613) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2396 + ... + 4676.

Almost surely, 28065616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8065616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8913492).

8065616 is an abundant number, since it is smaller than the sum of its proper divisors (9761368).

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

8065616 is a wasteful number, since it uses less digits than its factorization.

8065616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2319 (or 2313 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 8065616 is about 2840.0028169000. The cubic root of 8065616 is about 200.5453118238.

It can be divided in two parts, 80656 and 16, that multiplied together give a square (1290496 = 11362).

The spelling of 8065616 in words is "eight million, sixty-five thousand, six hundred sixteen".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 272 442 884 1768 2281 3536 4562 9124 18248 29653 36496 38777 59306 77554 118612 155108 237224 310216 474448 504101 620432 1008202 2016404 4032808 8065616