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509531392 = 282968633
BaseRepresentation
bin11110010111101…
…101010100000000
31022111202212200001
4132113231110000
52020420001032
6122321005344
715424642156
oct3627552400
91274685601
10509531392
11241687527
12122783854
1381741586
144b9573d6
152eaec3e7
hex1e5ed500

509531392 has 36 divisors (see below), whose sum is σ = 1052159220. Its totient is φ = 245977088.

The previous prime is 509531389. The next prime is 509531419. The reversal of 509531392 is 293135905.

It can be written as a sum of positive squares in 2 ways, for example, as 326308096 + 183223296 = 18064^2 + 13536^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26893 + ... + 41740.

It is an arithmetic number, because the mean of its divisors is an integer number (29226645).

Almost surely, 2509531392 is an apocalyptic number.

It is an amenable number.

509531392 is an abundant number, since it is smaller than the sum of its proper divisors (542627828).

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

509531392 is an equidigital number, since it uses as much as digits as its factorization.

509531392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68678 (or 68664 counting only the distinct ones).

The product of its (nonzero) digits is 36450, while the sum is 37.

The square root of 509531392 is about 22572.8020413949. The cubic root of 509531392 is about 798.7121947260.

The spelling of 509531392 in words is "five hundred nine million, five hundred thirty-one thousand, three hundred ninety-two".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 928 1856 3712 7424 68633 137266 274532 549064 1098128 1990357 2196256 3980714 4392512 7961428 8785024 15922856 17570048 31845712 63691424 127382848 254765696 509531392