Search a number
-
+
505033424 = 24737472593
BaseRepresentation
bin11110000110100…
…011001011010000
31022012022100121122
4132012203023100
52013242032144
6122040341412
715341466440
oct3606431320
91265270548
10505033424
1123a0950a5
12121174868
138082815c
144b106120
152e50e7ee
hex1e1a32d0

505033424 has 80 divisors (see below), whose sum is σ = 1173401088. Its totient is φ = 206032896.

The previous prime is 505033423. The next prime is 505033429. The reversal of 505033424 is 424330505.

It is a junction number, because it is equal to n+sod(n) for n = 505033393 and 505033402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505033423) 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 15 ways as a sum of consecutive naturals, for example, 193472 + ... + 196064.

Almost surely, 2505033424 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 505033424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586700544).

505033424 is an abundant number, since it is smaller than the sum of its proper divisors (668367664).

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

505033424 is a wasteful number, since it uses less digits than its factorization.

505033424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2692 (or 2686 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 26.

The square root of 505033424 is about 22472.9487161787. The cubic root of 505033424 is about 796.3549926244.

Adding to 505033424 its reverse (424330505), we get a palindrome (929363929).

The spelling of 505033424 in words is "five hundred five million, thirty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 37 47 56 74 94 112 148 188 259 296 329 376 518 592 658 752 1036 1316 1739 2072 2593 2632 3478 4144 5186 5264 6956 10372 12173 13912 18151 20744 24346 27824 36302 41488 48692 72604 95941 97384 121871 145208 191882 194768 243742 290416 383764 487484 671587 767528 853097 974968 1343174 1535056 1706194 1949936 2686348 3412388 4509227 5372696 6824776 9018454 10745392 13649552 18036908 31564589 36073816 63129178 72147632 126258356 252516712 505033424