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25264256 = 27316367
BaseRepresentation
bin110000001100…
…0000010000000
31202112120001012
41200120002000
522431424011
62301300052
7424512503
oct140300200
952476035
1025264256
1113296456
128564628
135307584
1434d913a
152340a8b
hex1818080

25264256 has 32 divisors (see below), whose sum is σ = 51962880. Its totient is φ = 12222720.

The previous prime is 25264247. The next prime is 25264277. The reversal of 25264256 is 65246252.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 785 + ... + 7151.

It is an arithmetic number, because the mean of its divisors is an integer number (1623840).

Almost surely, 225264256 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 25264256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25981440).

25264256 is an abundant number, since it is smaller than the sum of its proper divisors (26698624).

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

25264256 is an equidigital number, since it uses as much as digits as its factorization.

25264256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6412 (or 6400 counting only the distinct ones).

The product of its digits is 28800, while the sum is 32.

The square root of 25264256 is about 5026.3561354126. The cubic root of 25264256 is about 293.4284172928.

The spelling of 25264256 in words is "twenty-five million, two hundred sixty-four thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 496 992 1984 3968 6367 12734 25468 50936 101872 197377 203744 394754 407488 789508 814976 1579016 3158032 6316064 12632128 25264256