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255303552 = 27371737151
BaseRepresentation
bin11110011011110…
…01111110000000
3122210101202122010
433031321332000
51010324203202
641200012520
76220021140
oct1715717600
9583352563
10255303552
11121126379
1271601140
1340b7b6ba
1425c9a920
151763076c
hexf379f80

255303552 has 256 divisors, whose sum is σ = 848378880. Its totient is φ = 66355200.

The previous prime is 255303547. The next prime is 255303613.

255303552 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1690677 + ... + 1690827.

It is an arithmetic number, because the mean of its divisors is an integer number (3313980).

Almost surely, 2255303552 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 255303552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424189440).

255303552 is an abundant number, since it is smaller than the sum of its proper divisors (593075328).

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

255303552 is a wasteful number, since it uses less digits than its factorization.

255303552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 30.

The square root of 255303552 is about 15978.2211775905. The cubic root of 255303552 is about 634.3840945641.

The spelling of 255303552 in words is "two hundred fifty-five million, three hundred three thousand, five hundred fifty-two".