Search a number
-
+
557963460 = 2232517182341
BaseRepresentation
bin100001010000011…
…101100011000100
31102212220110222100
4201100131203010
52120314312320
6131211032100
716553416425
oct4120354304
91385813870
10557963460
11266a5722a
12136a3b630
138b79b0c2
145416364c
1533eb7790
hex2141d8c4

557963460 has 72 divisors (see below), whose sum is σ = 1792057176. Its totient is φ = 140037120.

The previous prime is 557963459. The next prime is 557963467. The reversal of 557963460 is 64369755.

557963460 is a `hidden beast` number, since 5 + 5 + 7 + 9 + 634 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16842816 + 541120644 = 4104^2 + 23262^2 .

It is a super-2 number, since 2×5579634602 = 622646445390343200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (557963467) 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 23 ways as a sum of consecutive naturals, for example, 88111 + ... + 94230.

It is an arithmetic number, because the mean of its divisors is an integer number (24889683).

Almost surely, 2557963460 is an apocalyptic number.

It is an amenable number.

557963460 is an abundant number, since it is smaller than the sum of its proper divisors (1234093716).

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

557963460 is a wasteful number, since it uses less digits than its factorization.

557963460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182373 (or 182368 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The square root of 557963460 is about 23621.2501785998. The cubic root of 557963460 is about 823.2566602734.

The spelling of 557963460 in words is "five hundred fifty-seven million, nine hundred sixty-three thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 182341 364682 547023 729364 911705 1094046 1641069 1823410 2188092 2735115 3099797 3282138 3646820 5470230 6199594 6564276 8205345 9299391 10940460 12399188 15498985 16410690 18598782 27898173 30997970 32821380 37197564 46496955 55796346 61995940 92993910 111592692 139490865 185987820 278981730 557963460