Search a number
-
+
9054144 = 2632111429
BaseRepresentation
bin100010100010…
…011111000000
3122000222221200
4202202133000
54304213034
6522021200
7136646631
oct42423700
918028850
109054144
115124570
123047800
131b501a8
1412b9888
15bdca99
hex8a27c0

9054144 has 84 divisors (see below), whose sum is σ = 28331160. Its totient is φ = 2741760.

The previous prime is 9054137. The next prime is 9054167. The reversal of 9054144 is 4414509.

9054144 is nontrivially palindromic in base 7.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5622 + ... + 7050.

Almost surely, 29054144 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 9054144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14165580).

9054144 is an abundant number, since it is smaller than the sum of its proper divisors (19277016).

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

9054144 is a wasteful number, since it uses less digits than its factorization.

9054144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1458 (or 1445 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 9054144 is about 3009.0104685760. The cubic root of 9054144 is about 208.4246747554.

The spelling of 9054144 in words is "nine million, fifty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 132 144 176 192 198 264 288 352 396 528 576 704 792 1056 1429 1584 2112 2858 3168 4287 5716 6336 8574 11432 12861 15719 17148 22864 25722 31438 34296 45728 47157 51444 62876 68592 91456 94314 102888 125752 137184 141471 188628 205776 251504 274368 282942 377256 411552 503008 565884 754512 823104 1006016 1131768 1509024 2263536 3018048 4527072 9054144