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505466164 = 22723677027
BaseRepresentation
bin11110001000001…
…100110100110100
31022020010100020001
4132020030310310
52013344404124
6122053521044
715345251200
oct3610146464
91266110201
10505466164
1123a360235
12121343184
138094a108
144b1b9b00
152e597b44
hex1e20cd34

505466164 has 36 divisors (see below), whose sum is σ = 1031935296. Its totient is φ = 216007344.

The previous prime is 505466149. The next prime is 505466183. The reversal of 505466164 is 461664505.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 68419 + ... + 75445.

Almost surely, 2505466164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505466164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515967648).

505466164 is an abundant number, since it is smaller than the sum of its proper divisors (526469132).

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

505466164 is a wasteful number, since it uses less digits than its factorization.

505466164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7412 (or 7403 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The square root of 505466164 is about 22482.5746746230. The cubic root of 505466164 is about 796.5823810584.

The spelling of 505466164 in words is "five hundred five million, four hundred sixty-six thousand, one hundred sixty-four".

Divisors: 1 2 4 7 14 28 49 98 196 367 734 1468 2569 5138 7027 10276 14054 17983 28108 35966 49189 71932 98378 196756 344323 688646 1377292 2578909 5157818 10315636 18052363 36104726 72209452 126366541 252733082 505466164