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25668144 = 243359417
BaseRepresentation
bin110000111101…
…0101000110000
31210022002002000
41201322220300
523032340034
62314054000
7431114145
oct141725060
953262060
1025668144
1113541947
12871a300
135419368
1435a23cc
1523c0599
hex187aa30

25668144 has 40 divisors (see below), whose sum is σ = 73678320. Its totient is φ = 8555904.

The previous prime is 25668131. The next prime is 25668151. The reversal of 25668144 is 44186652.

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

It is a junction number, because it is equal to n+sod(n) for n = 25668099 and 25668108.

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, 29277 + ... + 30140.

It is an arithmetic number, because the mean of its divisors is an integer number (1841958).

Almost surely, 225668144 is an apocalyptic number.

25668144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

25668144 is an abundant number, since it is smaller than the sum of its proper divisors (48010176).

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

25668144 is a wasteful number, since it uses less digits than its factorization.

25668144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59434 (or 59422 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 25668144 is about 5066.3738511878. The cubic root of 25668144 is about 294.9837930386.

The spelling of 25668144 in words is "twenty-five million, six hundred sixty-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 59417 118834 178251 237668 356502 475336 534753 713004 950672 1069506 1426008 1604259 2139012 2852016 3208518 4278024 6417036 8556048 12834072 25668144