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25663248 = 24321313709
BaseRepresentation
bin110000111100…
…1011100010000
31210021211100200
41201321130100
523032210443
62314015200
7431063652
oct141713420
953254320
1025663248
11135391a6
128717500
135417070
1435a06d2
1523bddd3
hex1879710

25663248 has 60 divisors (see below), whose sum is σ = 77351820. Its totient is φ = 7895808.

The previous prime is 25663247. The next prime is 25663273. The reversal of 25663248 is 84236652.

It can be written as a sum of positive squares in 2 ways, for example, as 13046544 + 12616704 = 3612^2 + 3552^2 .

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

It is not an unprimeable number, because it can be changed into a prime (25663241) 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 11 ways as a sum of consecutive naturals, for example, 4983 + ... + 8726.

It is an arithmetic number, because the mean of its divisors is an integer number (1289197).

Almost surely, 225663248 is an apocalyptic number.

It is an amenable number.

25663248 is an abundant number, since it is smaller than the sum of its proper divisors (51688572).

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

25663248 is a wasteful number, since it uses less digits than its factorization.

25663248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13736 (or 13727 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 25663248 is about 5065.8906423254. The cubic root of 25663248 is about 294.9650365534.

It can be divided in two parts, 256 and 63248, that added together give a square (63504 = 2522).

The spelling of 25663248 in words is "twenty-five million, six hundred sixty-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 13709 27418 41127 54836 82254 109672 123381 164508 178217 219344 246762 329016 356434 493524 534651 658032 712868 987048 1069302 1425736 1603953 1974096 2138604 2851472 3207906 4277208 6415812 8554416 12831624 25663248