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112286848 = 276173197
BaseRepresentation
bin1101011000101…
…01110010000000
321211021202121011
412230111302000
5212221134343
615050410304
72532264622
oct654256200
9254252534
10112286848
1158423853
1231730994
131a35622b
1410cacc12
159cd029d
hex6b15c80

112286848 has 64 divisors (see below), whose sum is σ = 231648120. Its totient is φ = 54190080.

The previous prime is 112286843. The next prime is 112286849. The reversal of 112286848 is 848682211.

It can be written as a sum of positive squares in 4 ways, for example, as 99840064 + 12446784 = 9992^2 + 3528^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 112286848.

It is not an unprimeable number, because it can be changed into a prime (112286843) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 569886 + ... + 570082.

Almost surely, 2112286848 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 112286848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115824060).

112286848 is an abundant number, since it is smaller than the sum of its proper divisors (119361272).

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

112286848 is an equidigital number, since it uses as much as digits as its factorization.

112286848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 333 counting only the distinct ones).

The product of its digits is 49152, while the sum is 40.

The square root of 112286848 is about 10596.5488721564. The cubic root of 112286848 is about 482.4396165945.

The spelling of 112286848 in words is "one hundred twelve million, two hundred eighty-six thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 32 61 64 73 122 128 146 197 244 292 394 488 584 788 976 1168 1576 1952 2336 3152 3904 4453 4672 6304 7808 8906 9344 12017 12608 14381 17812 24034 25216 28762 35624 48068 57524 71248 96136 115048 142496 192272 230096 284992 384544 460192 569984 769088 877241 920384 1538176 1754482 1840768 3508964 7017928 14035856 28071712 56143424 112286848