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8006808 = 2334179103
BaseRepresentation
bin11110100010110010011000
3120001210021110
4132202302120
54022204213
6443340320
7125025315
oct36426230
916053243
108006808
1145796a7
1228216a0
131874574
1410c5d0c
15a825c3
hex7a2c98

8006808 has 64 divisors (see below), whose sum is σ = 20966400. Its totient is φ = 2545920.

The previous prime is 8006797. The next prime is 8006819. The reversal of 8006808 is 8086008.

It is an interprime number because it is at equal distance from previous prime (8006797) and next prime (8006819).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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 15 ways as a sum of consecutive naturals, for example, 77685 + ... + 77787.

It is an arithmetic number, because the mean of its divisors is an integer number (327600).

Almost surely, 28006808 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 8006808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10483200).

8006808 is an abundant number, since it is smaller than the sum of its proper divisors (12959592).

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

8006808 is a wasteful number, since it uses less digits than its factorization.

8006808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 8006808 is about 2829.6303645529. The cubic root of 8006808 is about 200.0567172476.

The spelling of 8006808 in words is "eight million, six thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 24 41 79 82 103 123 158 164 206 237 246 309 316 328 412 474 492 618 632 824 948 984 1236 1896 2472 3239 4223 6478 8137 8446 9717 12669 12956 16274 16892 19434 24411 25338 25912 32548 33784 38868 48822 50676 65096 77736 97644 101352 195288 333617 667234 1000851 1334468 2001702 2668936 4003404 8006808