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507468680 = 23529437473
BaseRepresentation
bin11110001111110…
…101101110001000
31022100220002011022
4132033311232020
52014402444210
6122204452012
715401261345
oct3617655610
91270802138
10507468680
112404a8804
12121b4a008
138119b734
144b57b7cc
152e841155
hex1e3f5b88

507468680 has 32 divisors (see below), whose sum is σ = 1181179800. Its totient is φ = 195987456.

The previous prime is 507468677. The next prime is 507468691. The reversal of 507468680 is 86864705.

It can be written as a sum of positive squares in 4 ways, for example, as 299359204 + 208109476 = 17302^2 + 14426^2 .

It is a super-2 number, since 2×5074686802 = 515048922361884800, which contains 22 as substring.

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, 217577 + ... + 219896.

Almost surely, 2507468680 is an apocalyptic number.

It is an amenable number.

507468680 is an abundant number, since it is smaller than the sum of its proper divisors (673711120).

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

507468680 is a wasteful number, since it uses less digits than its factorization.

507468680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437513 (or 437509 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 44.

The square root of 507468680 is about 22527.0654990835. The cubic root of 507468680 is about 797.6329406954.

The spelling of 507468680 in words is "five hundred seven million, four hundred sixty-eight thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 437473 874946 1749892 2187365 3499784 4374730 8749460 12686717 17498920 25373434 50746868 63433585 101493736 126867170 253734340 507468680