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509852136 = 233715472
BaseRepresentation
bin11110011000111…
…011100111101000
31022112101011122110
4132120323213220
52021010232021
6122331522320
715430446243
oct3630734750
91275334573
10509852136
11241886502
121228b93a0
1381824571
144b9dc25a
152eb62476
hex1e63b9e8

509852136 has 48 divisors (see below), whose sum is σ = 1294950240. Its totient is φ = 167250720.

The previous prime is 509852093. The next prime is 509852143. The reversal of 509852136 is 631258905.

It is a junction number, because it is equal to n+sod(n) for n = 509852094 and 509852103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 931815 + ... + 932361.

It is an arithmetic number, because the mean of its divisors is an integer number (26978130).

Almost surely, 2509852136 is an apocalyptic number.

It is an amenable number.

509852136 is an abundant number, since it is smaller than the sum of its proper divisors (785098104).

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

509852136 is an equidigital number, since it uses as much as digits as its factorization.

509852136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The square root of 509852136 is about 22579.9055799620. The cubic root of 509852136 is about 798.8797528735.

The spelling of 509852136 in words is "five hundred nine million, eight hundred fifty-two thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 24 71 142 213 284 426 547 568 852 1094 1641 1704 2188 3282 4376 6564 13128 38837 77674 116511 155348 233022 299209 310696 466044 598418 897627 932088 1196836 1795254 2393672 3590508 7181016 21243839 42487678 63731517 84975356 127463034 169950712 254926068 509852136