Search a number
-
+
559042848 = 253271383257
BaseRepresentation
bin100001010100100…
…101000100100000
31102221221022121200
4201110211010200
52121103332343
6131250121200
716565533350
oct4124450440
91387838550
10559042848
11267624191
12137280200
138ba884b0
1454364b60
153412c4d3
hex21525120

559042848 has 288 divisors, whose sum is σ = 1987929216. Its totient is φ = 145096704.

The previous prime is 559042837. The next prime is 559042901. The reversal of 559042848 is 848240955.

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

It is a super-2 number, since 2×5590428482 = 625057811799902208, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2175136 + ... + 2175392.

It is an arithmetic number, because the mean of its divisors is an integer number (6902532).

Almost surely, 2559042848 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 559042848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (993964608).

559042848 is an abundant number, since it is smaller than the sum of its proper divisors (1428886368).

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

559042848 is a wasteful number, since it uses less digits than its factorization.

559042848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 559042848 is about 23644.0869563618. The cubic root of 559042848 is about 823.7871854345.

The spelling of 559042848 in words is "five hundred fifty-nine million, forty-two thousand, eight hundred forty-eight".