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112488912 = 2434294173
BaseRepresentation
bin1101011010001…
…11000111010000
321211200000210000
412231013013100
5212244121122
615055010000
72534066004
oct655070720
9254600700
10112488912
1158551648
1231809900
131a3c71b3
1410d22704
159d200ac
hex6b471d0

112488912 has 200 divisors, whose sum is σ = 349743240. Its totient is φ = 34836480.

The previous prime is 112488899. The next prime is 112488923. The reversal of 112488912 is 219884211.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2742336 + 109746576 = 1656^2 + 10476^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1540908 + ... + 1540980.

Almost surely, 2112488912 is an apocalyptic number.

112488912 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 112488912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174871620).

112488912 is an abundant number, since it is smaller than the sum of its proper divisors (237254328).

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

112488912 is a wasteful number, since it uses less digits than its factorization.

112488912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 148 counting only the distinct ones).

The product of its digits is 9216, while the sum is 36.

The square root of 112488912 is about 10606.0790115858. The cubic root of 112488912 is about 482.7288320094.

The spelling of 112488912 in words is "one hundred twelve million, four hundred eighty-eight thousand, nine hundred twelve".