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556422048 = 25347213337
BaseRepresentation
bin100001001010100…
…101001110100000
31102210000011120000
4201022211032200
52114421001143
6131114020000
716534336500
oct4112451640
91383004500
10556422048
112660a4136
12136417600
138b37b620
1453c81a00
1533cb0bd3
hex212a53a0

556422048 has 360 divisors, whose sum is σ = 2056106052. Its totient is φ = 146313216.

The previous prime is 556421993. The next prime is 556422059. The reversal of 556422048 is 840224655.

It is a happy number.

556422048 is a `hidden beast` number, since 5 + 5 + 642 + 2 + 0 + 4 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 503015184 + 53406864 = 22428^2 + 7308^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1650936 + ... + 1651272.

Almost surely, 2556422048 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 556422048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028053026).

556422048 is an abundant number, since it is smaller than the sum of its proper divisors (1499684004).

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

556422048 is a wasteful number, since it uses less digits than its factorization.

556422048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 556422048 is about 23588.5999584545. The cubic root of 556422048 is about 822.4978602630.

The spelling of 556422048 in words is "five hundred fifty-six million, four hundred twenty-two thousand, forty-eight".