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5616288 = 253219501
BaseRepresentation
bin10101011011001010100000
3101120100002200
4111123022200
52414210123
6320213200
765511006
oct25331240
911510080
105616288
113196667
121a6a200
131218462
14a62a76
1575e143
hex55b2a0

5616288 has 36 divisors (see below), whose sum is σ = 15972138. Its totient is φ = 1872000.

The previous prime is 5616287. The next prime is 5616293. The reversal of 5616288 is 8826165.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 4717584 + 898704 = 2172^2 + 948^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5616283) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9463 + ... + 10038.

Almost surely, 25616288 is an apocalyptic number.

It is an amenable number.

5616288 is an abundant number, since it is smaller than the sum of its proper divisors (10355850).

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

5616288 is a wasteful number, since it uses less digits than its factorization.

5616288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19517 (or 19506 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 5616288 is about 2369.8708825588. The cubic root of 5616288 is about 177.7528025100.

The spelling of 5616288 in words is "five million, six hundred sixteen thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 19501 39002 58503 78004 117006 156008 175509 234012 312016 351018 468024 624032 702036 936048 1404072 1872096 2808144 5616288