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8081664 = 28317619
BaseRepresentation
bin11110110101000100000000
3120012120221220
4132311010000
54032103124
6445115040
7125456463
oct36650400
916176856
108081664
11461a968
122858a80
13189c666
1411052da
15a99879
hex7b5100

8081664 has 72 divisors (see below), whose sum is σ = 22811040. Its totient is φ = 2531328.

The previous prime is 8081663. The next prime is 8081699. The reversal of 8081664 is 4661808.

8081664 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (8081663) 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, 12747 + ... + 13365.

It is an arithmetic number, because the mean of its divisors is an integer number (316820).

Almost surely, 28081664 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 8081664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11405520).

8081664 is an abundant number, since it is smaller than the sum of its proper divisors (14729376).

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

8081664 is a wasteful number, since it uses less digits than its factorization.

8081664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 8081664 is about 2842.8267622210. The cubic root of 8081664 is about 200.6782307487.

The spelling of 8081664 in words is "eight million, eighty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 544 619 768 816 1088 1238 1632 1857 2176 2476 3264 3714 4352 4952 6528 7428 9904 10523 13056 14856 19808 21046 29712 31569 39616 42092 59424 63138 79232 84184 118848 126276 158464 168368 237696 252552 336736 475392 505104 673472 1010208 1346944 2020416 2693888 4040832 8081664