Search a number
-
+
557011344 = 24353373587
BaseRepresentation
bin100001001100110…
…101000110010000
31102211010002220210
4201030311012100
52120043330334
6131134404120
716542342531
oct4114650620
91384102823
10557011344
1126646695a
12136660640
138b526916
1453d96688
1533d7a5e9
hex21335190

557011344 has 80 divisors (see below), whose sum is σ = 1472530752. Its totient is φ = 181369344.

The previous prime is 557011337. The next prime is 557011349. The reversal of 557011344 is 443110755.

It is not an unprimeable number, because it can be changed into a prime (557011349) 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 15 ways as a sum of consecutive naturals, for example, 948619 + ... + 949205.

Almost surely, 2557011344 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 557011344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736265376).

557011344 is an abundant number, since it is smaller than the sum of its proper divisors (915519408).

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

557011344 is a wasteful number, since it uses less digits than its factorization.

557011344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 557011344 is about 23601.0877715414. The cubic root of 557011344 is about 822.7881217597.

The spelling of 557011344 in words is "five hundred fifty-seven million, eleven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 106 159 212 318 373 424 587 636 746 848 1119 1174 1272 1492 1761 2238 2348 2544 2984 3522 4476 4696 5968 7044 8952 9392 14088 17904 19769 28176 31111 39538 59307 62222 79076 93333 118614 124444 158152 186666 218951 237228 248888 316304 373332 437902 474456 497776 656853 746664 875804 948912 1313706 1493328 1751608 2627412 3503216 5254824 10509648 11604403 23208806 34813209 46417612 69626418 92835224 139252836 185670448 278505672 557011344