Search a number
-
+
9049856 = 28232953
BaseRepresentation
bin100010100001…
…011100000000
3122000210001212
4202201130000
54304043411
6521545252
7136631264
oct42413400
918023055
109049856
115121322
123045228
131b4b25a
1412b80a4
15bdb68b
hex8a1700

9049856 has 72 divisors (see below), whose sum is σ = 19867680. Its totient is φ = 4100096.

The previous prime is 9049849. The next prime is 9049877. The reversal of 9049856 is 6589409.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 170726 + ... + 170778.

It is an arithmetic number, because the mean of its divisors is an integer number (275940).

Almost surely, 29049856 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 9049856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9933840).

9049856 is an abundant number, since it is smaller than the sum of its proper divisors (10817824).

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

9049856 is a wasteful number, since it uses less digits than its factorization.

9049856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 41.

The square root of 9049856 is about 3008.2978575932. The cubic root of 9049856 is about 208.3917665780.

The spelling of 9049856 in words is "nine million, forty-nine thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 23 29 32 46 53 58 64 92 106 116 128 184 212 232 256 368 424 464 667 736 848 928 1219 1334 1472 1537 1696 1856 2438 2668 2944 3074 3392 3712 4876 5336 5888 6148 6784 7424 9752 10672 12296 13568 19504 21344 24592 35351 39008 42688 49184 70702 78016 85376 98368 141404 156032 170752 196736 282808 312064 393472 565616 1131232 2262464 4524928 9049856