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904112 = 24112467
BaseRepresentation
bin11011100101110110000
31200221012122
43130232300
5212412422
631213412
710453616
oct3345660
91627178
10904112
11568300
12377268
132586a1
141976b6
1512cd42
hexdcbb0

904112 has 30 divisors (see below), whose sum is σ = 1929564. Its totient is φ = 410080.

The previous prime is 904103. The next prime is 904117. The reversal of 904112 is 211409.

It is a happy number.

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 904112.

It is not an unprimeable number, because it can be changed into a prime (904117) by changing a digit.

904112 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1703 + ... + 2169.

2904112 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 904112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (964782).

904112 is an abundant number, since it is smaller than the sum of its proper divisors (1025452).

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

904112 is a wasteful number, since it uses less digits than its factorization.

904112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 904112 is about 950.8480425389. The cubic root of 904112 is about 96.6957555475.

The spelling of 904112 in words is "nine hundred four thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 467 484 934 968 1868 1936 3736 5137 7472 10274 20548 41096 56507 82192 113014 226028 452056 904112