Search a number
-
+
255534048 = 253371123167
BaseRepresentation
bin11110011101100…
…10001111100000
3122210211110211000
433032302033200
51010404042143
641204552000
76222001140
oct1716621740
9583743730
10255534048
11121273570
12716b2600
1340c2c5a3
1425d1a920
1517678bd3
hexf3b23e0

255534048 has 384 divisors, whose sum is σ = 975421440. Its totient is φ = 63106560.

The previous prime is 255534043. The next prime is 255534049. The reversal of 255534048 is 840435552.

255534048 is a `hidden beast` number, since 25 + 553 + 40 + 48 = 666.

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 (255534043) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1530061 + ... + 1530227.

It is an arithmetic number, because the mean of its divisors is an integer number (2540160).

Almost surely, 2255534048 is an apocalyptic number.

255534048 is a gapful number since it is divisible by the number (28) 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 255534048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487710720).

255534048 is an abundant number, since it is smaller than the sum of its proper divisors (719887392).

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

255534048 is a wasteful number, since it uses less digits than its factorization.

255534048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The square root of 255534048 is about 15985.4323682533. The cubic root of 255534048 is about 634.5749510463.

The spelling of 255534048 in words is "two hundred fifty-five million, five hundred thirty-four thousand, forty-eight".