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1255288256 = 26611372347
BaseRepresentation
bin100101011010010…
…0010110111000000
310020111001020202122
41022310202313000
510032323211011
6324321103412
743051526345
oct11264426700
93214036678
101255288256
11594639712
122b0487b68
131700b1921
14bca027cc
157530c3db
hex4ad22dc0

1255288256 has 56 divisors (see below), whose sum is σ = 2551364976. Its totient is φ = 612587520.

The previous prime is 1255288249. The next prime is 1255288259. The reversal of 1255288256 is 6528825521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1255288259) 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, 533675 + ... + 536021.

Almost surely, 21255288256 is an apocalyptic number.

1255288256 is a gapful number since it is divisible by the number (16) 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 1255288256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1275682488).

1255288256 is an abundant number, since it is smaller than the sum of its proper divisors (1296076720).

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

1255288256 is a wasteful number, since it uses less digits than its factorization.

1255288256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2557 (or 2547 counting only the distinct ones).

The product of its digits is 384000, while the sum is 44.

The square root of 1255288256 is about 35430.0473609619. The cubic root of 1255288256 is about 1078.7343014320.

The spelling of 1255288256 in words is "one billion, two hundred fifty-five million, two hundred eighty-eight thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 32 61 64 122 137 244 274 488 548 976 1096 1952 2192 2347 3904 4384 4694 8357 8768 9388 16714 18776 33428 37552 66856 75104 133712 143167 150208 267424 286334 321539 534848 572668 643078 1145336 1286156 2290672 2572312 4581344 5144624 9162688 10289248 19613879 20578496 39227758 78455516 156911032 313822064 627644128 1255288256