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505675680 = 25351053491
BaseRepresentation
bin11110001000111…
…111111110100000
31022020111222121220
4132020333332200
52013423110210
6122102215040
715350113056
oct3610777640
91266458556
10505675680
1123a493694
12121424480
13809c15a3
144b2321d6
152e5d9c70
hex1e23ffa0

505675680 has 48 divisors (see below), whose sum is σ = 1592879904. Its totient is φ = 134846720.

The previous prime is 505675669. The next prime is 505675771. The reversal of 505675680 is 86576505.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 526266 + ... + 527225.

It is an arithmetic number, because the mean of its divisors is an integer number (33184998).

Almost surely, 2505675680 is an apocalyptic number.

It is an amenable number.

505675680 is an abundant number, since it is smaller than the sum of its proper divisors (1087204224).

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

505675680 is a wasteful number, since it uses less digits than its factorization.

505675680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053509 (or 1053501 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 42.

The square root of 505675680 is about 22487.2337115973. The cubic root of 505675680 is about 796.6924271318.

The spelling of 505675680 in words is "five hundred five million, six hundred seventy-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1053491 2106982 3160473 4213964 5267455 6320946 8427928 10534910 12641892 15802365 16855856 21069820 25283784 31604730 33711712 42139640 50567568 63209460 84279280 101135136 126418920 168558560 252837840 505675680