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9010816 = 271741101
BaseRepresentation
bin100010010111…
…111010000000
3121221210111221
4202113322000
54301321231
6521044424
7136406413
oct42277200
917853457
109010816
1150a4a61
123026714
131b36559
1412a7b7a
15bced11
hex897e80

9010816 has 64 divisors (see below), whose sum is σ = 19663560. Its totient is φ = 4096000.

The previous prime is 9010787. The next prime is 9010829. The reversal of 9010816 is 6180109.

It can be written as a sum of positive squares in 4 ways, for example, as 8526400 + 484416 = 2920^2 + 696^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89166 + ... + 89266.

Almost surely, 29010816 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 9010816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9831780).

9010816 is an abundant number, since it is smaller than the sum of its proper divisors (10652744).

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

9010816 is a wasteful number, since it uses less digits than its factorization.

9010816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 25.

The square root of 9010816 is about 3001.8021253907. The cubic root of 9010816 is about 208.0916755646.

The spelling of 9010816 in words is "nine million, ten thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 17 32 34 41 64 68 82 101 128 136 164 202 272 328 404 544 656 697 808 1088 1312 1394 1616 1717 2176 2624 2788 3232 3434 4141 5248 5576 6464 6868 8282 11152 12928 13736 16564 22304 27472 33128 44608 54944 66256 70397 89216 109888 132512 140794 219776 265024 281588 530048 563176 1126352 2252704 4505408 9010816