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505246350 = 235272531297
BaseRepresentation
bin11110000111010…
…111001010001110
31022012201011200210
4132013113022032
52013320340400
6122045103250
715343344300
oct3607271216
91265634623
10505246350
1123a220074
12121257b26
13808a104b
144b15d970
152e552950
hex1e1d728e

505246350 has 144 divisors (see below), whose sum is σ = 1486230768. Its totient is φ = 113218560.

The previous prime is 505246349. The next prime is 505246351. The reversal of 505246350 is 53642505.

It is an interprime number because it is at equal distance from previous prime (505246349) and next prime (505246351).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505246351) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 388902 + ... + 390198.

It is an arithmetic number, because the mean of its divisors is an integer number (10321047).

Almost surely, 2505246350 is an apocalyptic number.

505246350 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 505246350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743115384).

505246350 is an abundant number, since it is smaller than the sum of its proper divisors (980984418).

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

505246350 is a wasteful number, since it uses less digits than its factorization.

505246350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1379 (or 1367 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The square root of 505246350 is about 22477.6856015027. The cubic root of 505246350 is about 796.4668933757.

Adding to 505246350 its reverse (53642505), we get a palindrome (558888855).

The spelling of 505246350 in words is "five hundred five million, two hundred forty-six thousand, three hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 49 50 53 70 75 98 105 106 147 150 159 175 210 245 265 294 318 350 371 490 525 530 735 742 795 1050 1113 1225 1297 1325 1470 1590 1855 2226 2450 2594 2597 2650 3675 3710 3891 3975 5194 5565 6485 7350 7782 7791 7950 9079 9275 11130 12970 12985 15582 18158 18550 19455 25970 27237 27825 32425 38910 38955 45395 54474 55650 63553 64850 64925 68741 77910 90790 97275 127106 129850 136185 137482 190659 194550 194775 206223 226975 272370 317765 343705 381318 389550 412446 453950 481187 635530 680925 687410 953295 962374 1031115 1361850 1443561 1588825 1718525 1906590 2062230 2405935 2887122 3177650 3368309 3437050 4766475 4811870 5155575 6736618 7217805 9532950 10104927 10311150 12029675 14435610 16841545 20209854 24059350 33683090 36089025 50524635 72178050 84207725 101049270 168415450 252623175 505246350