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5315616 = 253218457
BaseRepresentation
bin10100010001110000100000
3101000001122200
4110101300200
52330044431
6305533200
763116265
oct24216040
911001580
105315616
113000779
121944200
131141647
149c526c
156eeee6
hex511c20

5315616 has 36 divisors (see below), whose sum is σ = 15117102. Its totient is φ = 1771776.

The previous prime is 5315591. The next prime is 5315621. The reversal of 5315616 is 6165135.

It is a happy number.

5315616 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in only one way, i.e., 4016016 + 1299600 = 2004^2 + 1140^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5315616.

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, 8941 + ... + 9516.

Almost surely, 25315616 is an apocalyptic number.

It is an amenable number.

5315616 is an abundant number, since it is smaller than the sum of its proper divisors (9801486).

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

5315616 is a wasteful number, since it uses less digits than its factorization.

5315616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18473 (or 18462 counting only the distinct ones).

The product of its digits is 2700, while the sum is 27.

The square root of 5315616 is about 2305.5619705399. The cubic root of 5315616 is about 174.5224093628.

The spelling of 5315616 in words is "five million, three hundred fifteen thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 18457 36914 55371 73828 110742 147656 166113 221484 295312 332226 442968 590624 664452 885936 1328904 1771872 2657808 5315616