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556444980 = 22325721323211
BaseRepresentation
bin100001001010101…
…010110100110100
31102210001100000100
4201022222310310
52114422214410
6131114314100
716534463400
oct4112526464
91383040010
10556444980
1126610a393
12136428930
138b388bb0
1453c8a100
1533cb78c0
hex212aad34

556444980 has 432 divisors, whose sum is σ = 2216882304. Its totient is φ = 111767040.

The previous prime is 556444937. The next prime is 556444981. The reversal of 556444980 is 89444655.

556444980 is a `hidden beast` number, since 5 + 564 + 4 + 4 + 9 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (556444981) 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 143 ways as a sum of consecutive naturals, for example, 2637075 + ... + 2637285.

It is an arithmetic number, because the mean of its divisors is an integer number (5131672).

Almost surely, 2556444980 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 556444980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1108441152).

556444980 is an abundant number, since it is smaller than the sum of its proper divisors (1660437324).

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

556444980 is a wasteful number, since it uses less digits than its factorization.

556444980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 556444980 is about 23589.0860357073. The cubic root of 556444980 is about 822.5091593970.

The spelling of 556444980 in words is "five hundred fifty-six million, four hundred forty-four thousand, nine hundred eighty".