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516556016 = 241710118803
BaseRepresentation
bin11110110010100…
…000010011110000
31022222222202122022
4132302200103300
52024214243031
6123131331012
715541440134
oct3662402360
91288882568
10516556016
112456451a9
12124bb0a68
1383030a62
144c8653c4
153053897b
hex1eca04f0

516556016 has 40 divisors (see below), whose sum is σ = 1070248464. Its totient is φ = 240665600.

The previous prime is 516556009. The next prime is 516556039. The reversal of 516556016 is 610655615.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18071 + ... + 36873.

Almost surely, 2516556016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 516556016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535124232).

516556016 is an abundant number, since it is smaller than the sum of its proper divisors (553692448).

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

516556016 is a wasteful number, since it uses less digits than its factorization.

516556016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18929 (or 18923 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 35.

The square root of 516556016 is about 22727.8687078221. The cubic root of 516556016 is about 802.3659211239.

The spelling of 516556016 in words is "five hundred sixteen million, five hundred fifty-six thousand, sixteen".

Divisors: 1 2 4 8 16 17 34 68 101 136 202 272 404 808 1616 1717 3434 6868 13736 18803 27472 37606 75212 150424 300848 319651 639302 1278604 1899103 2557208 3798206 5114416 7596412 15192824 30385648 32284751 64569502 129139004 258278008 516556016