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505504680 = 233518012339
BaseRepresentation
bin11110001000010…
…110001110101000
31022020012022001120
4132020112032220
52013402122210
6122054415240
715345501402
oct3610261650
91266168046
10505504680
1123a38716a
12121361520
13809617c5
144b1c9b72
152e5a4270
hex1e2163a8

505504680 has 64 divisors (see below), whose sum is σ = 1518004800. Its totient is φ = 134668800.

The previous prime is 505504679. The next prime is 505504691. The reversal of 505504680 is 86405505.

It is an unprimeable number.

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, 214951 + ... + 217289.

It is an arithmetic number, because the mean of its divisors is an integer number (23718825).

Almost surely, 2505504680 is an apocalyptic number.

It is an amenable number.

505504680 is an abundant number, since it is smaller than the sum of its proper divisors (1012500120).

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

505504680 is a wasteful number, since it uses less digits than its factorization.

505504680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4154 (or 4150 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The square root of 505504680 is about 22483.4312327990. The cubic root of 505504680 is about 796.6026134629.

The spelling of 505504680 in words is "five hundred five million, five hundred four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1801 2339 3602 4678 5403 7017 7204 9005 9356 10806 11695 14034 14408 18010 18712 21612 23390 27015 28068 35085 36020 43224 46780 54030 56136 70170 72040 93560 108060 140340 216120 280680 4212539 8425078 12637617 16850156 21062695 25275234 33700312 42125390 50550468 63188085 84250780 101100936 126376170 168501560 252752340 505504680