Search a number
-
+
255428096 = 2971121931
BaseRepresentation
bin11110011100110…
…00011000000000
3122210122002110212
433032120120000
51010342144341
641202413252
76221050220
oct1716303000
9583562425
10255428096
11121200a00
1271661228
1340bc32b1
1425cd0080
15176575eb
hexf398600

255428096 has 240 divisors, whose sum is σ = 696622080. Its totient is φ = 91238400.

The previous prime is 255428081. The next prime is 255428113. The reversal of 255428096 is 690824552.

It is a harmonic number, since the harmonic mean of its divisors is an integer.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8239601 + ... + 8239631.

It is an arithmetic number, because the mean of its divisors is an integer number (2902592).

Almost surely, 2255428096 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 255428096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348311040).

255428096 is an abundant number, since it is smaller than the sum of its proper divisors (441193984).

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

255428096 is a wasteful number, since it uses less digits than its factorization.

255428096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 41.

The square root of 255428096 is about 15982.1180073231. The cubic root of 255428096 is about 634.4872343860.

The spelling of 255428096 in words is "two hundred fifty-five million, four hundred twenty-eight thousand, ninety-six".