Search a number
-
+
500830464 = 28329113199
BaseRepresentation
bin11101110110100…
…001000100000000
31021220101211020110
4131312201010000
52011203033324
6121410311320
715260663061
oct3566410400
91256354213
10500830464
11237784382
1211b888540
137c9b60b4
144a730568
152de7e329
hex1dda1100

500830464 has 144 divisors (see below), whose sum is σ = 1398096000. Its totient is φ = 158957568.

The previous prime is 500830453. The next prime is 500830487. The reversal of 500830464 is 464038005.

It is an unprimeable number.

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, 2516637 + ... + 2516835.

It is an arithmetic number, because the mean of its divisors is an integer number (9709000).

Almost surely, 2500830464 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 500830464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699048000).

500830464 is an abundant number, since it is smaller than the sum of its proper divisors (897265536).

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

500830464 is a wasteful number, since it uses less digits than its factorization.

500830464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 500830464 is about 22379.2418102133. The cubic root of 500830464 is about 794.1397093988.

Adding to 500830464 its reverse (464038005), we get a palindrome (964868469).

The spelling of 500830464 in words is "five hundred million, eight hundred thirty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 113 116 128 174 192 199 226 232 256 339 348 384 398 452 464 597 678 696 768 796 904 928 1194 1356 1392 1592 1808 1856 2388 2712 2784 3184 3277 3616 3712 4776 5424 5568 5771 6368 6554 7232 7424 9552 9831 10848 11136 11542 12736 13108 14464 17313 19104 19662 21696 22272 22487 23084 25472 26216 28928 34626 38208 39324 43392 44974 46168 50944 52432 67461 69252 76416 78648 86784 89948 92336 104864 134922 138504 152832 157296 179896 184672 209728 269844 277008 314592 359792 369344 419456 539688 554016 629184 652123 719584 738688 838912 1079376 1108032 1258368 1304246 1439168 1477376 1956369 2158752 2216064 2516736 2608492 2878336 3912738 4317504 4432128 5216984 5756672 7825476 8635008 10433968 15650952 17270016 20867936 31301904 41735872 62603808 83471744 125207616 166943488 250415232 500830464