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112287648 = 25311113941
BaseRepresentation
bin1101011000101…
…01111110100000
321211021210200210
412230111332200
5212221201043
615050414120
72532300144
oct654257640
9254253623
10112287648
1158424410
1231731340
131a3566c5
1410cad224
159cd0633
hex6b15fa0

112287648 has 96 divisors (see below), whose sum is σ = 324741312. Its totient is φ = 33689600.

The previous prime is 112287607. The next prime is 112287667. The reversal of 112287648 is 846782211.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118858 + ... + 119798.

It is an arithmetic number, because the mean of its divisors is an integer number (3382722).

Almost surely, 2112287648 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 112287648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162370656).

112287648 is an abundant number, since it is smaller than the sum of its proper divisors (212453664).

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

112287648 is a wasteful number, since it uses less digits than its factorization.

112287648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1078 (or 1070 counting only the distinct ones).

The product of its digits is 43008, while the sum is 39.

The square root of 112287648 is about 10596.5866202282. The cubic root of 112287648 is about 482.4407623232.

The spelling of 112287648 in words is "one hundred twelve million, two hundred eighty-seven thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 113 132 176 226 264 339 352 452 528 678 904 941 1056 1243 1356 1808 1882 2486 2712 2823 3616 3729 3764 4972 5424 5646 7458 7528 9944 10351 10848 11292 14916 15056 19888 20702 22584 29832 30112 31053 39776 41404 45168 59664 62106 82808 90336 106333 119328 124212 165616 212666 248424 318999 331232 425332 496848 637998 850664 993696 1169663 1275996 1701328 2339326 2551992 3402656 3508989 4678652 5103984 7017978 9357304 10207968 14035956 18714608 28071912 37429216 56143824 112287648