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255960432 = 243371317383
BaseRepresentation
bin11110100000110…
…10010101110000
3122211122010201000
433100122111300
51011011213212
641222042000
76225425220
oct1720322560
9584563630
10255960432
11121534952
1271879300
134104b6a0
1425dcc080
15177101dc
hexf41a570

255960432 has 320 divisors, whose sum is σ = 959938560. Its totient is φ = 63369216.

The previous prime is 255960431. The next prime is 255960451. The reversal of 255960432 is 234069552.

255960432 is a `hidden beast` number, since 2 + 559 + 60 + 43 + 2 = 666.

255960432 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (255960431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 668113 + ... + 668495.

It is an arithmetic number, because the mean of its divisors is an integer number (2999808).

Almost surely, 2255960432 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 255960432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479969280).

255960432 is an abundant number, since it is smaller than the sum of its proper divisors (703978128).

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

255960432 is a wasteful number, since it uses less digits than its factorization.

255960432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 255960432 is about 15998.7634522172. The cubic root of 255960432 is about 634.9277054117.

The spelling of 255960432 in words is "two hundred fifty-five million, nine hundred sixty thousand, four hundred thirty-two".