Search a number
-
+
9048960 = 273251571
BaseRepresentation
bin100010100001…
…001110000000
3122000201211200
4202201032000
54304031320
6521541200
7136625544
oct42411600
918021750
109048960
115120688
123044800
131b4aa1b
1412b7a24
15bdb290
hex8a1380

9048960 has 96 divisors (see below), whose sum is σ = 31267080. Its totient is φ = 2411520.

The previous prime is 9048943. The next prime is 9048973. The reversal of 9048960 is 698409.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 4975 + ... + 6545.

Almost surely, 29048960 is an apocalyptic number.

9048960 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9048960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15633540).

9048960 is an abundant number, since it is smaller than the sum of its proper divisors (22218120).

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

9048960 is a wasteful number, since it uses less digits than its factorization.

9048960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1596 (or 1581 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 9048960 is about 3008.1489324832. The cubic root of 9048960 is about 208.3848889295.

The spelling of 9048960 in words is "nine million, forty-eight thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1571 1920 2880 3142 4713 5760 6284 7855 9426 12568 14139 15710 18852 23565 25136 28278 31420 37704 47130 50272 56556 62840 70695 75408 94260 100544 113112 125680 141390 150816 188520 201088 226224 251360 282780 301632 377040 452448 502720 565560 603264 754080 904896 1005440 1131120 1508160 1809792 2262240 3016320 4524480 9048960