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255930048 = 263211311303
BaseRepresentation
bin11110100000100…
…10111011000000
3122211120121000200
433100102323000
51011004230143
641221245200
76225240513
oct1720227300
9584517020
10255930048
11121514040
1271863800
134103a8ca
1425dc0d7a
15177061d3
hexf412ec0

255930048 has 168 divisors, whose sum is σ = 826715136. Its totient is φ = 74995200.

The previous prime is 255930047. The next prime is 255930089. The reversal of 255930048 is 840039552.

255930048 is a `hidden beast` number, since 25 + 593 + 0 + 0 + 48 = 666.

255930048 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 255929994 and 255930021.

It is not an unprimeable number, because it can be changed into a prime (255930047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 195765 + ... + 197067.

Almost surely, 2255930048 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 255930048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413357568).

255930048 is an abundant number, since it is smaller than the sum of its proper divisors (570785088).

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

255930048 is a wasteful number, since it uses less digits than its factorization.

255930048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1363 (or 1350 counting only the distinct ones).

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

The square root of 255930048 is about 15997.8138506485. The cubic root of 255930048 is about 634.9025812071.

The spelling of 255930048 in words is "two hundred fifty-five million, nine hundred thirty thousand, forty-eight".