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9161984 = 28132753
BaseRepresentation
bin100010111100…
…110100000000
3122020110212202
4202330310000
54321140414
6524212332
7140606216
oct42746400
918213782
109161984
115198597
12309a0a8
131b8a2c0
141306cb6
15c0e9de
hex8bcd00

9161984 has 36 divisors (see below), whose sum is σ = 19702116. Its totient is φ = 4227072.

The previous prime is 9161959. The next prime is 9161987. The reversal of 9161984 is 4891619.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 5161984 + 4000000 = 2272^2 + 2000^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9161987) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1952 + ... + 4704.

It is an arithmetic number, because the mean of its divisors is an integer number (547281).

Almost surely, 29161984 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 9161984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9851058).

9161984 is an abundant number, since it is smaller than the sum of its proper divisors (10540132).

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

9161984 is a wasteful number, since it uses less digits than its factorization.

9161984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2782 (or 2768 counting only the distinct ones).

The product of its digits is 15552, while the sum is 38.

The square root of 9161984 is about 3026.8769383640. The cubic root of 9161984 is about 209.2488964864.

The spelling of 9161984 in words is "nine million, one hundred sixty-one thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 832 1664 2753 3328 5506 11012 22024 35789 44048 71578 88096 143156 176192 286312 352384 572624 704768 1145248 2290496 4580992 9161984