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505335857 = 1327340961
BaseRepresentation
bin11110000111101…
…101000000110001
31022012212201110212
4132013231000301
52013331221412
6122051033505
715344166245
oct3607550061
91265781425
10505335857
1123a281344
1212129b895
1380902a00
144b184425
152e56e222
hex1e1ed031

505335857 has 12 divisors (see below), whose sum is σ = 554707404. Its totient is φ = 460062720.

The previous prime is 505335833. The next prime is 505335877. The reversal of 505335857 is 758533505.

It can be written as a sum of positive squares in 6 ways, for example, as 6974881 + 498360976 = 2641^2 + 22324^2 .

It is not a de Polignac number, because 505335857 - 26 = 505335793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (505335877) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8144 + ... + 32817.

It is an arithmetic number, because the mean of its divisors is an integer number (46225617).

Almost surely, 2505335857 is an apocalyptic number.

It is an amenable number.

505335857 is a deficient number, since it is larger than the sum of its proper divisors (49371547).

505335857 is a wasteful number, since it uses less digits than its factorization.

505335857 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41060 (or 41047 counting only the distinct ones).

The product of its (nonzero) digits is 315000, while the sum is 41.

The square root of 505335857 is about 22479.6765323703. The cubic root of 505335857 is about 796.5139233397.

The spelling of 505335857 in words is "five hundred five million, three hundred thirty-five thousand, eight hundred fifty-seven".

Divisors: 1 13 73 169 949 12337 40961 532493 2990153 6922409 38871989 505335857