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516003431 = 1727997233
BaseRepresentation
bin11110110000011…
…001011001100111
31022221221200122012
4132300121121213
52024044102211
6123111424435
715533646116
oct3660313147
91287850565
10516003431
112452a8019
1212498511b
1382b99398
144c75dc7d
1530479d8b
hex1ec19667

516003431 has 24 divisors (see below), whose sum is σ = 563209920. Its totient is φ = 472522752.

The previous prime is 516003427. The next prime is 516003437. The reversal of 516003431 is 134300615.

It is a happy number.

It is not a de Polignac number, because 516003431 - 22 = 516003427 is a prime.

It is a super-2 number, since 2×5160034312 = 532519081607543522, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 516003397 and 516003406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516003437) 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, 2214491 + ... + 2214723.

It is an arithmetic number, because the mean of its divisors is an integer number (23467080).

Almost surely, 2516003431 is an apocalyptic number.

516003431 is a deficient number, since it is larger than the sum of its proper divisors (47206489).

516003431 is a wasteful number, since it uses less digits than its factorization.

516003431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 516003431 is about 22715.7089037520. The cubic root of 516003431 is about 802.0797091399.

The spelling of 516003431 in words is "five hundred sixteen million, three thousand, four hundred thirty-one".

Divisors: 1 17 79 97 233 289 1343 1649 3961 7663 18407 22601 22831 28033 67337 130271 312919 384217 1785479 2214607 5319623 6531689 30353143 516003431