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112292688 = 243732439
BaseRepresentation
bin1101011000101…
…11001101010000
321211022001121110
412230113031100
5212221331223
615050453320
72532320634
oct654271520
9254261543
10112292688
1158428182
1231734240
131a358aa1
1410cb0dc4
159cd1d93
hex6b17350

112292688 has 60 divisors (see below), whose sum is σ = 294787680. Its totient is φ = 36834048.

The previous prime is 112292683. The next prime is 112292689. The reversal of 112292688 is 886292211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112292681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 255573 + ... + 256011.

It is an arithmetic number, because the mean of its divisors is an integer number (4913128).

Almost surely, 2112292688 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 112292688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147393840).

112292688 is an abundant number, since it is smaller than the sum of its proper divisors (182494992).

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

112292688 is an equidigital number, since it uses as much as digits as its factorization.

112292688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 517 counting only the distinct ones).

The product of its digits is 27648, while the sum is 39.

The square root of 112292688 is about 10596.8244299884. The cubic root of 112292688 is about 482.4479802885.

The spelling of 112292688 in words is "one hundred twelve million, two hundred ninety-two thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 73 146 219 292 438 439 584 876 878 1168 1317 1752 1756 2634 3504 3512 5268 5329 7024 10536 10658 15987 21072 21316 31974 32047 42632 63948 64094 85264 96141 127896 128188 192282 255792 256376 384564 512752 769128 1538256 2339431 4678862 7018293 9357724 14036586 18715448 28073172 37430896 56146344 112292688