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505516368 = 24371504513
BaseRepresentation
bin11110001000011…
…001000101010000
31022020012220002110
4132020121011100
52013403010433
6122054545320
715345550440
oct3610310520
91266186073
10505516368
1123a394a25
12121368240
1380966c16
144b1d0120
152e5a7963
hex1e219150

505516368 has 40 divisors (see below), whose sum is σ = 1492477888. Its totient is φ = 144433152.

The previous prime is 505516327. The next prime is 505516387. The reversal of 505516368 is 863615505.

It is a super-2 number, since 2×5055163682 = 511093596631822848, which contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 751921 + ... + 752592.

Almost surely, 2505516368 is an apocalyptic number.

It is an amenable number.

505516368 is an abundant number, since it is smaller than the sum of its proper divisors (986961520).

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

505516368 is a wasteful number, since it uses less digits than its factorization.

505516368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1504531 (or 1504525 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 39.

The square root of 505516368 is about 22483.6911560357. The cubic root of 505516368 is about 796.6087529508.

The spelling of 505516368 in words is "five hundred five million, five hundred sixteen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 1504513 3009026 4513539 6018052 9027078 10531591 12036104 18054156 21063182 24072208 31594773 36108312 42126364 63189546 72216624 84252728 126379092 168505456 252758184 505516368