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112490752 = 281143929
BaseRepresentation
bin1101011010001…
…11100100000000
321211200010022011
412231013210000
5212244201002
615055022304
72534104243
oct655074400
9254603264
10112490752
1158552a70
123180a994
131a3c7c9a
1410d2325a
159d208d7
hex6b47900

112490752 has 72 divisors (see below), whose sum is σ = 250921440. Its totient is φ = 49889280.

The previous prime is 112490747. The next prime is 112490753. The reversal of 112490752 is 257094211.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (112490753) 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, 120624 + ... + 121552.

It is an arithmetic number, because the mean of its divisors is an integer number (3485020).

Almost surely, 2112490752 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 112490752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125460720).

112490752 is an abundant number, since it is smaller than the sum of its proper divisors (138430688).

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

112490752 is an equidigital number, since it uses as much as digits as its factorization.

112490752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 112490752 is about 10606.1657539377. The cubic root of 112490752 is about 482.7314640206.

The spelling of 112490752 in words is "one hundred twelve million, four hundred ninety thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 43 44 64 86 88 128 172 176 256 344 352 473 688 704 929 946 1376 1408 1858 1892 2752 2816 3716 3784 5504 7432 7568 10219 11008 14864 15136 20438 29728 30272 39947 40876 59456 60544 79894 81752 118912 121088 159788 163504 237824 319576 327008 439417 639152 654016 878834 1278304 1308032 1757668 2556608 2616064 3515336 5113216 7030672 10226432 14061344 28122688 56245376 112490752