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506165274 = 23419316189
BaseRepresentation
bin11110001010110…
…111100000011010
31022021102212020000
4132022313200122
52014034242044
6122120513430
715354222336
oct3612674032
91267385200
10506165274
1123a79850a
1212161b876
1380b333a4
144b31c7c6
152e684d69
hex1e2b781a

506165274 has 40 divisors (see below), whose sum is σ = 1140132180. Its totient is φ = 167837184.

The previous prime is 506165243. The next prime is 506165279. The reversal of 506165274 is 472561605.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 495374049 + 10791225 = 22257^2 + 3285^2 .

It is not an unprimeable number, because it can be changed into a prime (506165279) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 23172 + ... + 39360.

Almost surely, 2506165274 is an apocalyptic number.

506165274 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 506165274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570066090).

506165274 is an abundant number, since it is smaller than the sum of its proper divisors (633966906).

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

506165274 is a wasteful number, since it uses less digits than its factorization.

506165274 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16396 (or 16387 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 506165274 is about 22498.1171212171. The cubic root of 506165274 is about 796.9494627718.

The spelling of 506165274 in words is "five hundred six million, one hundred sixty-five thousand, two hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 193 386 579 1158 1737 3474 5211 10422 15633 16189 31266 32378 48567 97134 145701 291402 437103 874206 1311309 2622618 3124477 6248954 9373431 18746862 28120293 56240586 84360879 168721758 253082637 506165274