Search a number
-
+
9104928 = 253717797
BaseRepresentation
bin100010101110…
…111000100000
3122010120121120
4202232320200
54312324203
6523052240
7140250660
oct42567040
918116546
109104928
115159738
123071080
131b6a341
1412d01a0
15becb53
hex8aee20

9104928 has 96 divisors (see below), whose sum is σ = 28957824. Its totient is φ = 2445312.

The previous prime is 9104899. The next prime is 9104947. The reversal of 9104928 is 8294019.

It is a tau number, because it is divible by the number of its divisors (96).

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, 11026 + ... + 11822.

It is an arithmetic number, because the mean of its divisors is an integer number (301644).

Almost surely, 29104928 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 9104928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14478912).

9104928 is an abundant number, since it is smaller than the sum of its proper divisors (19852896).

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

9104928 is a wasteful number, since it uses less digits than its factorization.

9104928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 9104928 is about 3017.4373232927. The cubic root of 9104928 is about 208.8136278007.

The spelling of 9104928 in words is "nine million, one hundred four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 68 84 96 102 112 119 136 168 204 224 238 272 336 357 408 476 544 672 714 797 816 952 1428 1594 1632 1904 2391 2856 3188 3808 4782 5579 5712 6376 9564 11158 11424 12752 13549 16737 19128 22316 25504 27098 33474 38256 40647 44632 54196 66948 76512 81294 89264 94843 108392 133896 162588 178528 189686 216784 267792 284529 325176 379372 433568 535584 569058 650352 758744 1138116 1300704 1517488 2276232 3034976 4552464 9104928