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112783944 = 233713113457
BaseRepresentation
bin1101011100011…
…11001001001000
321212020000111010
412232033021020
5212333041234
615105203520
72536435110
oct656171110
9255200433
10112783944
1158733279
12319305a0
131a49b580
1410d9c040
159d7c6e9
hex6b8f248

112783944 has 128 divisors (see below), whose sum is σ = 350864640. Its totient is φ = 29417472.

The previous prime is 112783919. The next prime is 112783949. The reversal of 112783944 is 449387211.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (112783949) 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 31 ways as a sum of consecutive naturals, for example, 246564 + ... + 247020.

It is an arithmetic number, because the mean of its divisors is an integer number (2741130).

Almost surely, 2112783944 is an apocalyptic number.

112783944 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112783944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175432320).

112783944 is an abundant number, since it is smaller than the sum of its proper divisors (238080696).

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

112783944 is a wasteful number, since it uses less digits than its factorization.

112783944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 595 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 112783944 is about 10619.9785310517. The cubic root of 112783944 is about 483.1504917077.

The spelling of 112783944 in words is "one hundred twelve million, seven hundred eighty-three thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 113 156 168 182 226 273 312 339 364 452 457 546 678 728 791 904 914 1092 1356 1371 1469 1582 1828 2184 2373 2712 2742 2938 3164 3199 3656 4407 4746 5484 5876 5941 6328 6398 8814 9492 9597 10283 10968 11752 11882 12796 17628 17823 18984 19194 20566 23764 25592 30849 35256 35646 38388 41132 41587 47528 51641 61698 71292 76776 82264 83174 103282 123396 124761 142584 154923 166348 206564 246792 249522 309846 332696 361487 413128 499044 619692 671333 722974 998088 1084461 1239384 1342666 1445948 2013999 2168922 2685332 2891896 4027998 4337844 4699331 5370664 8055996 8675688 9398662 14097993 16111992 18797324 28195986 37594648 56391972 112783944