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255293280 = 253251171227
BaseRepresentation
bin11110011011101…
…11011101100000
3122210101020112200
433031313131200
51010323341110
641155453200
76216646164
oct1715673540
9583336480
10255293280
11121119690
12715b7200
1340b76b18
1425c96ca4
151762c6c0
hexf377760

255293280 has 288 divisors, whose sum is σ = 968018688. Its totient is φ = 60748800.

The previous prime is 255293251. The next prime is 255293281. The reversal of 255293280 is 82392552.

255293280 is a `hidden beast` number, since 25 + 529 + 32 + 80 = 666.

255293280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255293281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1124527 + ... + 1124753.

It is an arithmetic number, because the mean of its divisors is an integer number (3361176).

Almost surely, 2255293280 is an apocalyptic number.

255293280 is a gapful number since it is divisible by the number (20) 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 255293280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484009344).

255293280 is an abundant number, since it is smaller than the sum of its proper divisors (712725408).

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

255293280 is a wasteful number, since it uses less digits than its factorization.

255293280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 255293280 is about 15977.8997368240. The cubic root of 255293280 is about 634.3755864167.

The spelling of 255293280 in words is "two hundred fifty-five million, two hundred ninety-three thousand, two hundred eighty".