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5186016 = 2532111637
BaseRepresentation
bin10011110010000111100000
3100202110212200
4103302013200
52311423031
6303053200
762036403
oct23620740
910673780
105186016
112a22370
1218a1200
1310c7664
1498dd3a
156c68e6
hex4f21e0

5186016 has 72 divisors (see below), whose sum is σ = 16098264. Its totient is φ = 1570560.

The previous prime is 5186009. The next prime is 5186033. The reversal of 5186016 is 6106815.

5186016 is a `hidden beast` number, since 51 + 8 + 601 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2350 + ... + 3986.

It is an arithmetic number, because the mean of its divisors is an integer number (223587).

Almost surely, 25186016 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 5186016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8049132).

5186016 is an abundant number, since it is smaller than the sum of its proper divisors (10912248).

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

5186016 is a wasteful number, since it uses less digits than its factorization.

5186016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1664 (or 1653 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 5186016 is about 2277.2825911599. The cubic root of 5186016 is about 173.0923805226.

The spelling of 5186016 in words is "five million, one hundred eighty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 1637 3168 3274 4911 6548 9822 13096 14733 18007 19644 26192 29466 36014 39288 52384 54021 58932 72028 78576 108042 117864 144056 157152 162063 216084 235728 288112 324126 432168 471456 576224 648252 864336 1296504 1728672 2593008 5186016