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112728288 = 2538591367
BaseRepresentation
bin1101011100000…
…01100011100000
321212010012010210
412232001203200
5212324301123
615104054120
72536113621
oct656014340
9255105123
10112728288
11586a5482
1231904340
131a47c13a
1410d85a48
159d6ae93
hex6b818e0

112728288 has 48 divisors (see below), whose sum is σ = 296472960. Its totient is φ = 37504896.

The previous prime is 112728283. The next prime is 112728289. The reversal of 112728288 is 882827211.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112728281) 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, 81781 + ... + 83147.

It is an arithmetic number, because the mean of its divisors is an integer number (6176520).

Almost surely, 2112728288 is an apocalyptic number.

It is an amenable number.

112728288 is an abundant number, since it is smaller than the sum of its proper divisors (183744672).

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

112728288 is a wasteful number, since it uses less digits than its factorization.

112728288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2239 (or 2231 counting only the distinct ones).

The product of its digits is 28672, while the sum is 39.

The square root of 112728288 is about 10617.3578634235. The cubic root of 112728288 is about 483.0710044827.

The spelling of 112728288 in words is "one hundred twelve million, seven hundred twenty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 859 1367 1718 2577 2734 3436 4101 5154 5468 6872 8202 10308 10936 13744 16404 20616 21872 27488 32808 41232 43744 65616 82464 131232 1174253 2348506 3522759 4697012 7045518 9394024 14091036 18788048 28182072 37576096 56364144 112728288