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505413760 = 275789709
BaseRepresentation
bin11110001000000…
…000000010000000
31022020000200100011
4132020000002000
52013341220020
6122052434304
715344642335
oct3610000200
91266020304
10505413760
1123a324925
12121318994
138092c2c7
144b1a498c
152e58735a
hex1e200080

505413760 has 32 divisors (see below), whose sum is σ = 1208256300. Its totient is φ = 202165248.

The previous prime is 505413749. The next prime is 505413767. The reversal of 505413760 is 67314505.

It can be written as a sum of positive squares in 2 ways, for example, as 433638976 + 71774784 = 20824^2 + 8472^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (505413767) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 394215 + ... + 395494.

Almost surely, 2505413760 is an apocalyptic number.

It is an amenable number.

505413760 is an abundant number, since it is smaller than the sum of its proper divisors (702842540).

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

505413760 is an equidigital number, since it uses as much as digits as its factorization.

505413760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789728 (or 789716 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 31.

The square root of 505413760 is about 22481.4092084994. The cubic root of 505413760 is about 796.5548516550.

The spelling of 505413760 in words is "five hundred five million, four hundred thirteen thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 789709 1579418 3158836 3948545 6317672 7897090 12635344 15794180 25270688 31588360 50541376 63176720 101082752 126353440 252706880 505413760