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255828672 = 26331143313
BaseRepresentation
bin11110011111110…
…10001011000000
3122211101102222000
433033322023000
51010443004142
641215144000
76224336121
oct1717721300
9584342860
10255828672
11121454960
1271815000
1341003718
1425d96048
15176d614c
hexf3fa2c0

255828672 has 224 divisors, whose sum is σ = 842223360. Its totient is φ = 75479040.

The previous prime is 255828667. The next prime is 255828689. The reversal of 255828672 is 276828552.

255828672 is a `hidden beast` number, since 2 + 5 + 582 + 8 + 67 + 2 = 666.

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, 817188 + ... + 817500.

Almost surely, 2255828672 is an apocalyptic number.

255828672 is a gapful number since it is divisible by the number (22) 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 255828672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421111680).

255828672 is an abundant number, since it is smaller than the sum of its proper divisors (586394688).

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

255828672 is a wasteful number, since it uses less digits than its factorization.

255828672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 372 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The square root of 255828672 is about 15994.6451039090. The cubic root of 255828672 is about 634.8187400888.

The spelling of 255828672 in words is "two hundred fifty-five million, eight hundred twenty-eight thousand, six hundred seventy-two".