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48582256 = 2423971361
BaseRepresentation
bin1011100101010…
…0111001110000
310101102020022211
42321110321300
544414113011
64453141504
71126641142
oct271247160
9111366284
1048582256
1125472628
121432a894
13a0accc8
146648c92
1543e9b21
hex2e54e70

48582256 has 40 divisors (see below), whose sum is σ = 99306144. Its totient is φ = 22978560.

The previous prime is 48582251. The next prime is 48582269. The reversal of 48582256 is 65228584.

48582256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48582251) by changing a digit.

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, 35016 + ... + 36376.

Almost surely, 248582256 is an apocalyptic number.

48582256 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48582256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49653072).

48582256 is an abundant number, since it is smaller than the sum of its proper divisors (50723888).

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

48582256 is a wasteful number, since it uses less digits than its factorization.

48582256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1489 (or 1483 counting only the distinct ones).

The product of its digits is 153600, while the sum is 40.

The square root of 48582256 is about 6970.0972733528. The cubic root of 48582256 is about 364.8877017389.

The spelling of 48582256 in words is "forty-eight million, five hundred eighty-two thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 23 46 92 97 184 194 368 388 776 1361 1552 2231 2722 4462 5444 8924 10888 17848 21776 31303 35696 62606 125212 132017 250424 264034 500848 528068 1056136 2112272 3036391 6072782 12145564 24291128 48582256