Search a number
-
+
555780096 = 2113319232
BaseRepresentation
bin100001001000001…
…000100000000000
31102201210112222000
4201020020200000
52114234430341
6131052144000
716526024064
oct4110104000
91381715860
10555780096
112657a58a3
12136168000
138b1b5381
1453b55aa4
1533bd58b6
hex21208800

555780096 has 288 divisors, whose sum is σ = 1811628000. Its totient is φ = 167878656.

The previous prime is 555780091. The next prime is 555780097. The reversal of 555780096 is 690087555.

555780096 is a `hidden beast` number, since 5 + 557 + 8 + 0 + 0 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (555780091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24164341 + ... + 24164363.

It is an arithmetic number, because the mean of its divisors is an integer number (6290375).

Almost surely, 2555780096 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 555780096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905814000).

555780096 is an abundant number, since it is smaller than the sum of its proper divisors (1255847904).

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

555780096 is a wasteful number, since it uses less digits than its factorization.

555780096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The square root of 555780096 is about 23574.9887804851. The cubic root of 555780096 is about 822.1814293968.

The spelling of 555780096 in words is "five hundred fifty-five million, seven hundred eighty thousand, ninety-six".