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509054838 = 23473974547
BaseRepresentation
bin11110010101111…
…000111101110110
31022110212122221220
4132111320331312
52020304223323
6122302451210
715420615615
oct3625707566
91273778856
10509054838
11241391486
12122593b06
13816056a6
144b87187c
152ea560e3
hex1e578f76

509054838 has 32 divisors (see below), whose sum is σ = 1042619904. Its totient is φ = 165619872.

The previous prime is 509054827. The next prime is 509054839. The reversal of 509054838 is 838450905.

It is a self number, because there is not a number n which added to its sum of digits gives 509054838.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509054839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109681 + ... + 114227.

It is an arithmetic number, because the mean of its divisors is an integer number (32581872).

Almost surely, 2509054838 is an apocalyptic number.

509054838 is an abundant number, since it is smaller than the sum of its proper divisors (533565066).

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

509054838 is a wasteful number, since it uses less digits than its factorization.

509054838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4996.

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 509054838 is about 22562.2436384328. The cubic root of 509054838 is about 798.4631108136.

The spelling of 509054838 in words is "five hundred nine million, fifty-four thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 47 94 141 282 397 794 1191 2382 4547 9094 13641 18659 27282 37318 55977 111954 213709 427418 641127 1282254 1805159 3610318 5415477 10830954 84842473 169684946 254527419 509054838