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2556256 = 251737127
BaseRepresentation
bin1001110000000101100000
311210212112011
421300011200
51123300011
6130442304
730504433
oct11600540
94725464
102556256
11149660a
12a33394
136b66a1
144a781a
15357621
hex270160

2556256 has 48 divisors (see below), whose sum is σ = 5515776. Its totient is φ = 1161216.

The previous prime is 2556233. The next prime is 2556259. The reversal of 2556256 is 6526552.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2556259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20065 + ... + 20191.

It is an arithmetic number, because the mean of its divisors is an integer number (114912).

22556256 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 2556256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2757888).

2556256 is an abundant number, since it is smaller than the sum of its proper divisors (2959520).

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

2556256 is a wasteful number, since it uses less digits than its factorization.

2556256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 183 counting only the distinct ones).

The product of its digits is 18000, while the sum is 31.

The square root of 2556256 is about 1598.8295719056. The cubic root of 2556256 is about 136.7313541349.

The spelling of 2556256 in words is "two million, five hundred fifty-six thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 17 32 34 37 68 74 127 136 148 254 272 296 508 544 592 629 1016 1184 1258 2032 2159 2516 4064 4318 4699 5032 8636 9398 10064 17272 18796 20128 34544 37592 69088 75184 79883 150368 159766 319532 639064 1278128 2556256