Search a number
-
+
557405056 = 27132911551
BaseRepresentation
bin100001001110010…
…101001110000000
31102211212002222201
4201032111032000
52120143430211
6131151042544
716545602425
oct4116251600
91384762881
10557405056
1126670573a
12136810454
138b633ba0
1454059d4c
1533e070c1
hex21395380

557405056 has 64 divisors (see below), whose sum is σ = 1237219200. Its totient is φ = 248371200.

The previous prime is 557405053. The next prime is 557405059. The reversal of 557405056 is 650504755.

It is an interprime number because it is at equal distance from previous prime (557405053) and next prime (557405059).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (557405053) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 42481 + ... + 54031.

It is an arithmetic number, because the mean of its divisors is an integer number (19331550).

Almost surely, 2557405056 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 557405056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618609600).

557405056 is an abundant number, since it is smaller than the sum of its proper divisors (679814144).

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

557405056 is a wasteful number, since it uses less digits than its factorization.

557405056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11607 (or 11595 counting only the distinct ones).

The product of its (nonzero) digits is 105000, while the sum is 37.

The square root of 557405056 is about 23609.4272696311. The cubic root of 557405056 is about 822.9819330508.

The spelling of 557405056 in words is "five hundred fifty-seven million, four hundred five thousand, fifty-six".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 64 104 116 128 208 232 377 416 464 754 832 928 1508 1664 1856 3016 3712 6032 11551 12064 23102 24128 46204 48256 92408 150163 184816 300326 334979 369632 600652 669958 739264 1201304 1339916 1478528 2402608 2679832 4354727 4805216 5359664 8709454 9610432 10719328 17418908 19220864 21438656 34837816 42877312 69675632 139351264 278702528 557405056