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516430369 = 71321725679
BaseRepresentation
bin11110110010000…
…001101000100001
31022222202101021201
4132302001220201
52024201232434
6123124521201
715540404620
oct3662015041
91288671251
10516430369
11245569864
12124b50201
1382cb8800
144c8316b7
1530511614
hex1ec81a21

516430369 has 24 divisors (see below), whose sum is σ = 676719360. Its totient is φ = 384553728.

The previous prime is 516430319. The next prime is 516430391. The reversal of 516430369 is 963034615.

It is not a de Polignac number, because 516430369 - 213 = 516422177 is a prime.

It is a super-2 number, since 2×5164303692 = 533400652050952322, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516430319) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7272 + ... + 32950.

It is an arithmetic number, because the mean of its divisors is an integer number (28196640).

Almost surely, 2516430369 is an apocalyptic number.

It is an amenable number.

516430369 is a deficient number, since it is larger than the sum of its proper divisors (160288991).

516430369 is a wasteful number, since it uses less digits than its factorization.

516430369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25729 (or 25716 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 37.

The square root of 516430369 is about 22725.1043781981. The cubic root of 516430369 is about 802.3008600638.

The spelling of 516430369 in words is "five hundred sixteen million, four hundred thirty thousand, three hundred sixty-nine".

Divisors: 1 7 13 17 91 119 169 221 1183 1547 2873 20111 25679 179753 333827 436543 2336789 3055801 4339751 5675059 30378257 39725413 73775767 516430369