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8868816 = 2432112509
BaseRepresentation
bin100001110101…
…001111010000
3121200120201200
4201311033100
54232300231
6514031200
7135245415
oct41651720
917616650
108868816
115008300
122b78500
131ab6a28
14126c10c
15ba2be6
hex8753d0

8868816 has 90 divisors (see below), whose sum is σ = 27335490. Its totient is φ = 2682240.

The previous prime is 8868803. The next prime is 8868841. The reversal of 8868816 is 6188688.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 8433216 + 435600 = 2904^2 + 660^2 .

It is a nude number because it is divisible by every one of its digits.

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 17 ways as a sum of consecutive naturals, for example, 17170 + ... + 17678.

Almost surely, 28868816 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 8868816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13667745).

8868816 is an abundant number, since it is smaller than the sum of its proper divisors (18466674).

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

8868816 is a wasteful number, since it uses less digits than its factorization.

8868816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 525 counting only the distinct ones).

The product of its digits is 147456, while the sum is 45.

The square root of 8868816 is about 2978.0557415871. The cubic root of 8868816 is about 206.9927883786.

The spelling of 8868816 in words is "eight million, eight hundred sixty-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 121 132 144 176 198 242 264 363 396 484 509 528 726 792 968 1018 1089 1452 1527 1584 1936 2036 2178 2904 3054 4072 4356 4581 5599 5808 6108 8144 8712 9162 11198 12216 16797 17424 18324 22396 24432 33594 36648 44792 50391 61589 67188 73296 89584 100782 123178 134376 184767 201564 246356 268752 369534 403128 492712 554301 739068 806256 985424 1108602 1478136 2217204 2956272 4434408 8868816