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9881664 = 2631337107
BaseRepresentation
bin100101101100…
…100001000000
3200121001002120
4211230201000
510012203124
6551444240
7146664342
oct45544100
920531076
109881664
11563a271
123386680
13207ca50
141453292
15d02d79
hex96c840

9881664 has 112 divisors (see below), whose sum is σ = 29187648. Its totient is φ = 2930688.

The previous prime is 9881647. The next prime is 9881671. The reversal of 9881664 is 4661889.

Its product of digits (82944) is a multiple of the sum of its prime divisors (162).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92299 + ... + 92405.

It is an arithmetic number, because the mean of its divisors is an integer number (260604).

Almost surely, 29881664 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 9881664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14593824).

9881664 is an abundant number, since it is smaller than the sum of its proper divisors (19305984).

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

9881664 is a wasteful number, since it uses less digits than its factorization.

9881664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 162 counting only the distinct ones).

The product of its digits is 82944, while the sum is 42.

The square root of 9881664 is about 3143.5114124176. The cubic root of 9881664 is about 214.5902706862.

The spelling of 9881664 in words is "nine million, eight hundred eighty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 37 39 48 52 64 74 78 96 104 107 111 148 156 192 208 214 222 296 312 321 416 428 444 481 592 624 642 832 856 888 962 1184 1248 1284 1391 1443 1712 1776 1924 2368 2496 2568 2782 2886 3424 3552 3848 3959 4173 5136 5564 5772 6848 7104 7696 7918 8346 10272 11128 11544 11877 15392 15836 16692 20544 22256 23088 23754 30784 31672 33384 44512 46176 47508 51467 63344 66768 89024 92352 95016 102934 126688 133536 154401 190032 205868 253376 267072 308802 380064 411736 617604 760128 823472 1235208 1646944 2470416 3293888 4940832 9881664