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509472314 = 213374112917
BaseRepresentation
bin11110010111011…
…110111000111010
31022111122212121222
4132113132320322
52020411103224
6122315432042
715424305011
oct3627367072
91274585558
10509472314
112416470aa
12122755622
1381720710
144b93da78
152ead9b5e
hex1e5dee3a

509472314 has 32 divisors (see below), whose sum is σ = 865919376. Its totient is φ = 223188480.

The previous prime is 509472307. The next prime is 509472317. The reversal of 509472314 is 413274905.

It can be written as a sum of positive squares in 8 ways, for example, as 143400625 + 366071689 = 11975^2 + 19133^2 .

It is not an unprimeable number, because it can be changed into a prime (509472317) 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, 32984 + ... + 45900.

Almost surely, 2509472314 is an apocalyptic number.

509472314 is a deficient number, since it is larger than the sum of its proper divisors (356447062).

509472314 is a wasteful number, since it uses less digits than its factorization.

509472314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13010.

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 509472314 is about 22571.4933932161. The cubic root of 509472314 is about 798.6813244377.

The spelling of 509472314 in words is "five hundred nine million, four hundred seventy-two thousand, three hundred fourteen".

Divisors: 1 2 13 26 37 41 74 82 481 533 962 1066 1517 3034 12917 19721 25834 39442 167921 335842 477929 529597 955858 1059194 6213077 6884761 12426154 13769522 19595089 39190178 254736157 509472314