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505040505 = 351721131031
BaseRepresentation
bin11110000110100…
…100111001111001
31022012022201022220
4132012210321321
52013242244010
6122040434253
715341526204
oct3606447171
91265281286
10505040505
1123a09a452
12121178989
138082b448
144b10893b
152e511970
hex1e1a4e79

505040505 has 48 divisors (see below), whose sum is σ = 866830464. Its totient is φ = 251023360.

The previous prime is 505040483. The next prime is 505040563.

505040505 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 505040505 - 213 = 505032313 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 489340 + ... + 490370.

It is an arithmetic number, because the mean of its divisors is an integer number (18058968).

Almost surely, 2505040505 is an apocalyptic number.

It is an amenable number.

505040505 is a deficient number, since it is larger than the sum of its proper divisors (361789959).

505040505 is a wasteful number, since it uses less digits than its factorization.

505040505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1186 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 2500, while the sum is 24.

The square root of 505040505 is about 22473.1062605951. The cubic root of 505040505 is about 796.3587144661.

The spelling of 505040505 in words is "five hundred five million, forty thousand, five hundred five".

Divisors: 1 3 5 15 17 51 85 113 255 289 339 565 867 1031 1445 1695 1921 3093 4335 5155 5763 9605 15465 17527 28815 32657 52581 87635 97971 116503 163285 262905 297959 349509 489855 582515 893877 1489795 1747545 1980551 4469385 5941653 9902755 29708265 33669367 101008101 168346835 505040505