Search a number
-
+
557972982 = 233711313063
BaseRepresentation
bin100001010000011…
…111110111110110
31102212220222001000
4201100133313312
52120320113412
6131211144130
716553456250
oct4120376766
91385828030
10557972982
11266a633a6
12136a45046
138b7a2538
1454166cd0
1533eba4dc
hex2141fdf6

557972982 has 64 divisors (see below), whose sum is σ = 1429724160. Its totient is φ = 157997952.

The previous prime is 557972969. The next prime is 557973023. The reversal of 557972982 is 289279755.

557972982 is a `hidden beast` number, since 557 + 9 + 7 + 2 + 9 + 82 = 666.

It is a super-2 number, since 2×5579729822 = 622667697283944648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36183 + ... + 49245.

It is an arithmetic number, because the mean of its divisors is an integer number (22339440).

Almost surely, 2557972982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 557972982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714862080).

557972982 is an abundant number, since it is smaller than the sum of its proper divisors (871751178).

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

557972982 is a wasteful number, since it uses less digits than its factorization.

557972982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13194 (or 13188 counting only the distinct ones).

The product of its digits is 3175200, while the sum is 54.

The square root of 557972982 is about 23621.4517335408. The cubic root of 557972982 is about 823.2613433789.

The spelling of 557972982 in words is "five hundred fifty-seven million, nine hundred seventy-two thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 113 126 189 226 339 378 678 791 1017 1582 2034 2373 3051 4746 6102 7119 13063 14238 21357 26126 39189 42714 78378 91441 117567 182882 235134 274323 352701 548646 705402 822969 1476119 1645938 2468907 2952238 4428357 4937814 8856714 10332833 13285071 20665666 26570142 30998499 39855213 61996998 79710426 92995497 185990994 278986491 557972982