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9048116 = 22711291013
BaseRepresentation
bin100010100001…
…000000110100
3122000200200102
4202201000310
54304014431
6521533232
7136623230
oct42410064
918020612
109048116
11511aa90
123044218
131b4a51c
1412b75c0
15bdadcb
hex8a1034

9048116 has 48 divisors (see below), whose sum is σ = 20442240. Its totient is φ = 3400320.

The previous prime is 9048077. The next prime is 9048157. The reversal of 9048116 is 6118409.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (29).

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 15 ways as a sum of consecutive naturals, for example, 8426 + ... + 9438.

It is an arithmetic number, because the mean of its divisors is an integer number (425880).

Almost surely, 29048116 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 9048116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10221120).

9048116 is an abundant number, since it is smaller than the sum of its proper divisors (11394124).

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

9048116 is a wasteful number, since it uses less digits than its factorization.

9048116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 9048116 is about 3008.0086436046. The cubic root of 9048116 is about 208.3784100150.

The spelling of 9048116 in words is "nine million, forty-eight thousand, one hundred sixteen".

Divisors: 1 2 4 7 11 14 22 28 29 44 58 77 116 154 203 308 319 406 638 812 1013 1276 2026 2233 4052 4466 7091 8932 11143 14182 22286 28364 29377 44572 58754 78001 117508 156002 205639 312004 323147 411278 646294 822556 1292588 2262029 4524058 9048116