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5311616 = 27172441
BaseRepresentation
bin10100010000110010000000
3100222212011112
4110100302000
52324432431
6305502452
763101522
oct24206200
910885145
105311616
112aa8772
121941a28
13113c88b
149c3a12
156edc2b
hex510c80

5311616 has 32 divisors (see below), whose sum is σ = 11208780. Its totient is φ = 2498560.

The previous prime is 5311601. The next prime is 5311651. The reversal of 5311616 is 6161135.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 5271616 + 40000 = 2296^2 + 200^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 5311591 and 5311600.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 956 + ... + 3396.

Almost surely, 25311616 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 5311616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5604390).

5311616 is an abundant number, since it is smaller than the sum of its proper divisors (5897164).

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

5311616 is a wasteful number, since it uses less digits than its factorization.

5311616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2472 (or 2460 counting only the distinct ones).

The product of its digits is 540, while the sum is 23.

The square root of 5311616 is about 2304.6943398204. The cubic root of 5311616 is about 174.4786223514.

The spelling of 5311616 in words is "five million, three hundred eleven thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 1088 2176 2441 4882 9764 19528 39056 41497 78112 82994 156224 165988 312448 331976 663952 1327904 2655808 5311616