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506252960 = 2553164081
BaseRepresentation
bin11110001011001…
…100111010100000
31022021121022111122
4132023030322200
52014100043320
6122122431412
715355036103
oct3613147240
91267538448
10506252960
1123a848384
12121662568
1380b64285
144b34273a
152e6a0d25
hex1e2ccea0

506252960 has 24 divisors (see below), whose sum is σ = 1196022996. Its totient is φ = 202501120.

The previous prime is 506252947. The next prime is 506252983. The reversal of 506252960 is 69252605.

It can be written as a sum of positive squares in 2 ways, for example, as 473671696 + 32581264 = 21764^2 + 5708^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 506252960.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1581881 + ... + 1582200.

Almost surely, 2506252960 is an apocalyptic number.

It is an amenable number.

506252960 is an abundant number, since it is smaller than the sum of its proper divisors (689770036).

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

506252960 is a wasteful number, since it uses less digits than its factorization.

506252960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3164096 (or 3164088 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 35.

The square root of 506252960 is about 22500.0657776816. The cubic root of 506252960 is about 796.9954802021.

The spelling of 506252960 in words is "five hundred six million, two hundred fifty-two thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 3164081 6328162 12656324 15820405 25312648 31640810 50625296 63281620 101250592 126563240 253126480 506252960