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505565064 = 2334780193
BaseRepresentation
bin11110001000100…
…100111110001000
31022020022100220000
4132020210332020
52013411040224
6122100003000
715346142424
oct3610447610
91266270800
10505565064
1123a418574
12121390460
1380983134
144b203b84
152e5b70c9
hex1e224f88

505565064 has 40 divisors (see below), whose sum is σ = 1416052110. Its totient is φ = 168521472.

The previous prime is 505565059. The next prime is 505565087. The reversal of 505565064 is 460565505.

It is a happy number.

505565064 is a `hidden beast` number, since 50 + 556 + 50 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 381420900 + 124144164 = 19530^2 + 11142^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 9 ways as a sum of consecutive naturals, for example, 389449 + ... + 390744.

Almost surely, 2505565064 is an apocalyptic number.

505565064 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

505565064 is an abundant number, since it is smaller than the sum of its proper divisors (910487046).

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

505565064 is a wasteful number, since it uses less digits than its factorization.

505565064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780211 (or 780198 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The square root of 505565064 is about 22484.7740482309. The cubic root of 505565064 is about 796.6343310308.

The spelling of 505565064 in words is "five hundred five million, five hundred sixty-five thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 780193 1560386 2340579 3120772 4681158 6241544 7021737 9362316 14043474 18724632 21065211 28086948 42130422 56173896 63195633 84260844 126391266 168521688 252782532 505565064