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112444032 = 273443661
BaseRepresentation
bin1101011001111…
…00001010000000
321211120202012210
412230330022000
5212241202112
615054022120
72533521111
oct654741200
9254522183
10112444032
1158520958
12317a7940
131a3ac93c
1410d10208
159d11b3c
hex6b3c280

112444032 has 64 divisors (see below), whose sum is σ = 299806560. Its totient is φ = 37340160.

The previous prime is 112443997. The next prime is 112444063. The reversal of 112444032 is 230444211.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 169782 + ... + 170442.

Almost surely, 2112444032 is an apocalyptic number.

112444032 is a gapful number since it is divisible by the number (12) 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 112444032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149903280).

112444032 is an abundant number, since it is smaller than the sum of its proper divisors (187362528).

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

112444032 is an equidigital number, since it uses as much as digits as its factorization.

112444032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 112444032 is about 10603.9630327534. The cubic root of 112444032 is about 482.6646249350.

Adding to 112444032 its reverse (230444211), we get a palindrome (342888243).

The spelling of 112444032 in words is "one hundred twelve million, four hundred forty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 443 661 886 1322 1329 1772 1983 2644 2658 3544 3966 5288 5316 7088 7932 10576 10632 14176 15864 21152 21264 28352 31728 42304 42528 56704 63456 84608 85056 126912 170112 253824 292823 585646 878469 1171292 1756938 2342584 3513876 4685168 7027752 9370336 14055504 18740672 28111008 37481344 56222016 112444032