Search a number
-
+
550137240 = 23325592439
BaseRepresentation
bin100000110010100…
…110110110011000
31102100011212102100
4200302212312120
52111313342430
6130331203400
716430042442
oct4062466630
91370155370
10550137240
112625a1284
121342a6560
1389c8aac3
14530c7492
153346d960
hex20ca6d98

550137240 has 144 divisors (see below), whose sum is σ = 1822906800. Its totient is φ = 143888256.

The previous prime is 550137239. The next prime is 550137241. The reversal of 550137240 is 42731055.

It is a happy number.

550137240 is a `hidden beast` number, since 550 + 1 + 3 + 72 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (550137239) and next prime (550137241).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (550137241) 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 35 ways as a sum of consecutive naturals, for example, 1252941 + ... + 1253379.

It is an arithmetic number, because the mean of its divisors is an integer number (12659075).

Almost surely, 2550137240 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 550137240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (911453400).

550137240 is an abundant number, since it is smaller than the sum of its proper divisors (1272769560).

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

550137240 is a wasteful number, since it uses less digits than its factorization.

550137240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 550137240 is about 23455.0045832441. The cubic root of 550137240 is about 819.3894126006.

Adding to 550137240 its reverse (42731055), we get a palindrome (592868295).

The spelling of 550137240 in words is "five hundred fifty million, one hundred thirty-seven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 59 60 72 90 118 120 177 180 236 295 354 360 439 472 531 590 708 878 885 1062 1180 1317 1416 1756 1770 2124 2195 2360 2634 2655 3481 3512 3540 3951 4248 4390 5268 5310 6585 6962 7080 7902 8780 10443 10536 10620 13170 13924 15804 17405 17560 19755 20886 21240 25901 26340 27848 31329 31608 34810 39510 41772 51802 52215 52680 62658 69620 77703 79020 83544 103604 104430 125316 129505 139240 155406 156645 158040 207208 208860 233109 250632 259010 310812 313290 388515 417720 466218 518020 621624 626580 777030 932436 1036040 1165545 1253160 1528159 1554060 1864872 2331090 3056318 3108120 4584477 4662180 6112636 7640795 9168954 9324360 12225272 13753431 15281590 18337908 22922385 27506862 30563180 36675816 45844770 55013724 61126360 68767155 91689540 110027448 137534310 183379080 275068620 550137240