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505314504 = 23334157059
BaseRepresentation
bin11110000111100…
…111110011001000
31022012211122012000
4132013213303020
52013330031004
6122050351000
715344050062
oct3607476310
91265748160
10505314504
1123a2672a2
1212128b460
13808c6086
144b17a732
152e567c39
hex1e1e7cc8

505314504 has 64 divisors (see below), whose sum is σ = 1437912000. Its totient is φ = 164327040.

The previous prime is 505314493. The next prime is 505314529. The reversal of 505314504 is 405413505.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19674 + ... + 37385.

It is an arithmetic number, because the mean of its divisors is an integer number (22467375).

Almost surely, 2505314504 is an apocalyptic number.

505314504 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

505314504 is an abundant number, since it is smaller than the sum of its proper divisors (932597496).

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

505314504 is a wasteful number, since it uses less digits than its factorization.

505314504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57115 (or 57105 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 505314504 is about 22479.2015872450. The cubic root of 505314504 is about 796.5027042655.

Subtracting from 505314504 its reverse (405413505), we obtain a palindrome (99900999).

The spelling of 505314504 in words is "five hundred five million, three hundred fourteen thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 54 72 82 108 123 164 216 246 328 369 492 738 984 1107 1476 2214 2952 4428 8856 57059 114118 171177 228236 342354 456472 513531 684708 1027062 1369416 1540593 2054124 2339419 3081186 4108248 4678838 6162372 7018257 9357676 12324744 14036514 18715352 21054771 28073028 42109542 56146056 63164313 84219084 126328626 168438168 252657252 505314504