Search a number
-
+
557980335 = 325118211373
BaseRepresentation
bin100001010000100…
…001101010101111
31102212221100010100
4201100201222233
52120320332320
6131211242143
716553516553
oct4120415257
91385840110
10557980335
11266a68980
12136a49353
138b7a59a3
1454169863
1533ebc790
hex21421aaf

557980335 has 48 divisors (see below), whose sum is σ = 1057144608. Its totient is φ = 270009600.

The previous prime is 557980331. The next prime is 557980337. The reversal of 557980335 is 533089755.

557980335 is a `hidden beast` number, since 557 + 98 + 0 + 3 + 3 + 5 = 666.

It is not a de Polignac number, because 557980335 - 22 = 557980331 is a prime.

It is a super-2 number, since 2×5579803352 = 622684108493424450, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (557980331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 405709 + ... + 407081.

It is an arithmetic number, because the mean of its divisors is an integer number (22023846).

Almost surely, 2557980335 is an apocalyptic number.

557980335 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

557980335 is a deficient number, since it is larger than the sum of its proper divisors (499164273).

557980335 is a wasteful number, since it uses less digits than its factorization.

557980335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2216 (or 2213 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The square root of 557980335 is about 23621.6073754518. The cubic root of 557980335 is about 823.2649596915.

The spelling of 557980335 in words is "five hundred fifty-seven million, nine hundred eighty thousand, three hundred thirty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 165 495 821 1373 2463 4105 4119 6865 7389 9031 12315 12357 15103 20595 27093 36945 45155 45309 61785 75515 81279 135465 135927 226545 406395 679635 1127233 3381699 5636165 10145097 12399563 16908495 37198689 50725485 61997815 111596067 185993445 557980335