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25628112 = 24321719229
BaseRepresentation
bin110000111000…
…0110111010000
31210020001011100
41201300313100
523030044422
62313144400
7430556346
oct141606720
953201140
1025628112
1113514864
1286bb100
135404083
143591996
1523b37ac
hex1870dd0

25628112 has 180 divisors, whose sum is σ = 82913220. Its totient is φ = 7354368.

The previous prime is 25628111. The next prime is 25628123. The reversal of 25628112 is 21182652.

It is a happy number.

25628112 is a `hidden beast` number, since 25 + 628 + 1 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 16842816 + 8785296 = 4104^2 + 2964^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25628111) 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 35 ways as a sum of consecutive naturals, for example, 883714 + ... + 883742.

It is an arithmetic number, because the mean of its divisors is an integer number (460629).

Almost surely, 225628112 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 25628112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41456610).

25628112 is an abundant number, since it is smaller than the sum of its proper divisors (57285108).

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

25628112 is a wasteful number, since it uses less digits than its factorization.

25628112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 70 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 25628112 is about 5062.4215549478. The cubic root of 25628112 is about 294.8303611489.

The spelling of 25628112 in words is "twenty-five million, six hundred twenty-eight thousand, one hundred twelve".