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516046104 = 233273727673
BaseRepresentation
bin11110110000100…
…011110100011000
31022222000212011200
4132300203310120
52024101433404
6123112354200
715534214410
oct3660436430
91288025150
10516046104
11245327092
121249a5960
1382bb2932
144c771640
1530487839
hex1ec23d18

516046104 has 96 divisors (see below), whose sum is σ = 1640514720. Its totient is φ = 143451648.

The previous prime is 516046093. The next prime is 516046121. The reversal of 516046104 is 401640615.

516046104 is a `hidden beast` number, since 51 + 604 + 6 + 1 + 0 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4812 + ... + 32484.

It is an arithmetic number, because the mean of its divisors is an integer number (17088695).

Almost surely, 2516046104 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 516046104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820257360).

516046104 is an abundant number, since it is smaller than the sum of its proper divisors (1124468616).

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

516046104 is a wasteful number, since it uses less digits than its factorization.

516046104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27729 (or 27722 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 516046104 is about 22716.6481682488. The cubic root of 516046104 is about 802.1018189438.

Adding to 516046104 its reverse (401640615), we get a palindrome (917686719).

The spelling of 516046104 in words is "five hundred sixteen million, forty-six thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 37 42 56 63 72 74 84 111 126 148 168 222 252 259 296 333 444 504 518 666 777 888 1036 1332 1554 2072 2331 2664 3108 4662 6216 9324 18648 27673 55346 83019 110692 166038 193711 221384 249057 332076 387422 498114 581133 664152 774844 996228 1023901 1162266 1549688 1743399 1992456 2047802 2324532 3071703 3486798 4095604 4649064 6143406 6973596 7167307 8191208 9215109 12286812 13947192 14334614 18430218 21501921 24573624 28669228 36860436 43003842 57338456 64505763 73720872 86007684 129011526 172015368 258023052 516046104