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112833344 = 2613135617
BaseRepresentation
bin1101011100110…
…11001101000000
321212022112020202
412232123031000
5212341131334
615110224332
72540032121
oct656331500
9255275222
10112833344
11587673a8
12319550a8
131a4b7bc0
1410db2048
159d8c17e
hex6b9b340

112833344 has 28 divisors (see below), whose sum is σ = 241128804. Its totient is φ = 52076544.

The previous prime is 112833299. The next prime is 112833349. The reversal of 112833344 is 443338211.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 22202944 + 90630400 = 4712^2 + 9520^2 .

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112833349) 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 3 ways as a sum of consecutive naturals, for example, 66977 + ... + 68640.

It is an arithmetic number, because the mean of its divisors is an integer number (8611743).

Almost surely, 2112833344 is an apocalyptic number.

It is an amenable number.

112833344 is an abundant number, since it is smaller than the sum of its proper divisors (128295460).

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

112833344 is a wasteful number, since it uses less digits than its factorization.

112833344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135642 (or 135632 counting only the distinct ones).

The product of its digits is 6912, while the sum is 29.

The square root of 112833344 is about 10622.3040815070. The cubic root of 112833344 is about 483.2210222861.

The spelling of 112833344 in words is "one hundred twelve million, eight hundred thirty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 135617 271234 542468 1084936 1763021 2169872 3526042 4339744 7052084 8679488 14104168 28208336 56416672 112833344