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256228448 = 2572163411
BaseRepresentation
bin11110100010110…
…11110001100000
3122212010202100112
433101123301200
51011043302243
641231510452
76230622500
oct1721336140
9585122315
10256228448
111216a8253
1271988428
1341113688
142605ba00
1517764818
hexf45bc60

256228448 has 36 divisors (see below), whose sum is σ = 586812492. Its totient is φ = 109811520.

The previous prime is 256228439. The next prime is 256228459. The reversal of 256228448 is 844822652.

256228448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 80138 + ... + 83273.

It is an arithmetic number, because the mean of its divisors is an integer number (16300347).

Almost surely, 2256228448 is an apocalyptic number.

256228448 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

256228448 is an abundant number, since it is smaller than the sum of its proper divisors (330584044).

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

256228448 is a wasteful number, since it uses less digits than its factorization.

256228448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163435 (or 163420 counting only the distinct ones).

The product of its digits is 245760, while the sum is 41.

The square root of 256228448 is about 16007.1374080440. The cubic root of 256228448 is about 635.1492389014.

The spelling of 256228448 in words is "two hundred fifty-six million, two hundred twenty-eight thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 163411 326822 653644 1143877 1307288 2287754 2614576 4575508 5229152 8007139 9151016 16014278 18302032 32028556 36604064 64057112 128114224 256228448