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112482384 = 24373110799
BaseRepresentation
bin1101011010001…
…01100001010000
321211122200211020
412231011201100
5212243414014
615054515440
72534040660
oct655054120
9254580736
10112482384
1158547753
1231805b80
131a3c4231
1410d201a0
159d1d1a9
hex6b45850

112482384 has 80 divisors (see below), whose sum is σ = 342835200. Its totient is φ = 31098240.

The previous prime is 112482373. The next prime is 112482427. The reversal of 112482384 is 483284211.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5017 + ... + 15815.

It is an arithmetic number, because the mean of its divisors is an integer number (4285440).

Almost surely, 2112482384 is an apocalyptic number.

112482384 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 112482384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171417600).

112482384 is an abundant number, since it is smaller than the sum of its proper divisors (230352816).

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

112482384 is a wasteful number, since it uses less digits than its factorization.

112482384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10848 (or 10842 counting only the distinct ones).

The product of its digits is 12288, while the sum is 33.

The square root of 112482384 is about 10605.7712590834. The cubic root of 112482384 is about 482.7194938601.

The spelling of 112482384 in words is "one hundred twelve million, four hundred eighty-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 62 84 93 112 124 168 186 217 248 336 372 434 496 651 744 868 1302 1488 1736 2604 3472 5208 10416 10799 21598 32397 43196 64794 75593 86392 129588 151186 172784 226779 259176 302372 334769 453558 518352 604744 669538 907116 1004307 1209488 1339076 1814232 2008614 2343383 2678152 3628464 4017228 4686766 5356304 7030149 8034456 9373532 14060298 16068912 18747064 28120596 37494128 56241192 112482384