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112883456 = 28728999
BaseRepresentation
bin1101011101001…
…11011100000000
321212102001222202
412232213130000
5212344232311
615111252332
72540331200
oct656473400
9255361882
10112883456
11587a1014
123197a0a8
131a50495a
1410dc6400
159d9be3b
hex6ba7700

112883456 has 54 divisors (see below), whose sum is σ = 262143000. Its totient is φ = 48373248.

The previous prime is 112883453. The next prime is 112883467. The reversal of 112883456 is 654388211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112883453) 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 5 ways as a sum of consecutive naturals, for example, 8045 + ... + 17043.

It is an arithmetic number, because the mean of its divisors is an integer number (4854500).

Almost surely, 2112883456 is an apocalyptic number.

112883456 is a gapful number since it is divisible by the number (16) 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 112883456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131071500).

112883456 is an abundant number, since it is smaller than the sum of its proper divisors (149259544).

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

112883456 is an frugal number, since it uses more digits than its factorization.

112883456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9029 (or 9008 counting only the distinct ones).

The product of its digits is 46080, while the sum is 38.

The square root of 112883456 is about 10624.6626299380. The cubic root of 112883456 is about 483.2925483884.

The spelling of 112883456 in words is "one hundred twelve million, eight hundred eighty-three thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 784 896 1568 1792 3136 6272 8999 12544 17998 35996 62993 71992 125986 143984 251972 287968 440951 503944 575936 881902 1007888 1151872 1763804 2015776 2303744 3527608 4031552 7055216 8063104 14110432 16126208 28220864 56441728 112883456