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5117184 = 28322221
BaseRepresentation
bin10011100001010100000000
3100121222110100
4103201110000
52302222214
6301402400
761331622
oct23412400
910558410
105117184
112985686
121869400
1310a2227
14972c12
156b1309
hex4e1500

5117184 has 54 divisors (see below), whose sum is σ = 14760746. Its totient is φ = 1704960.

The previous prime is 5117173. The next prime is 5117197. The reversal of 5117184 is 4817115.

5117184 is a `hidden beast` number, since 511 + 71 + 84 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4665600 + 451584 = 2160^2 + 672^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1194 + ... + 3414.

Almost surely, 25117184 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 5117184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7380373).

5117184 is an abundant number, since it is smaller than the sum of its proper divisors (9643562).

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

5117184 is a wasteful number, since it uses less digits than its factorization.

5117184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2243 (or 2226 counting only the distinct ones).

The product of its digits is 1120, while the sum is 27.

The square root of 5117184 is about 2262.1193602461. The cubic root of 5117184 is about 172.3231710323.

The spelling of 5117184 in words is "five million, one hundred seventeen thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2221 2304 4442 6663 8884 13326 17768 19989 26652 35536 39978 53304 71072 79956 106608 142144 159912 213216 284288 319824 426432 568576 639648 852864 1279296 1705728 2558592 5117184