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112825232 = 24133131733
BaseRepresentation
bin1101011100110…
…01001110010000
321212022010010022
412232121032100
5212340401412
615110123012
72536666352
oct656311620
9255263108
10112825232
11587612a3
1231950468
131a4b42c0
1410dad0d2
159d89a72
hex6b99390

112825232 has 40 divisors (see below), whose sum is σ = 236302584. Its totient is φ = 51876864.

The previous prime is 112825201. The next prime is 112825267. The reversal of 112825232 is 232528211.

112825232 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in 4 ways, for example, as 3748096 + 109077136 = 1936^2 + 10444^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

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 7 ways as a sum of consecutive naturals, for example, 64238 + ... + 65970.

Almost surely, 2112825232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112825232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118151292).

112825232 is an abundant number, since it is smaller than the sum of its proper divisors (123477352).

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

112825232 is a wasteful number, since it uses less digits than its factorization.

112825232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2067 (or 2061 counting only the distinct ones).

The product of its digits is 1920, while the sum is 26.

The square root of 112825232 is about 10621.9222365822. The cubic root of 112825232 is about 483.2094418356.

The spelling of 112825232 in words is "one hundred twelve million, eight hundred twenty-five thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 52 104 208 313 626 1252 1733 2504 3466 4069 5008 6932 8138 13864 16276 22529 27728 32552 45058 65104 90116 180232 360464 542429 1084858 2169716 4339432 7051577 8678864 14103154 28206308 56412616 112825232