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5317328 = 2417113173
BaseRepresentation
bin10100010010001011010000
3101000011000002
4110102023100
52330123303
6305545132
763124262
oct24221320
911004002
105317328
113001a95
1219451a8
131142363
149c5b32
15700788
hex5122d0

5317328 has 40 divisors (see below), whose sum is σ = 11068488. Its totient is φ = 2465792.

The previous prime is 5317327. The next prime is 5317339. The reversal of 5317328 is 8237135.

It can be written as a sum of positive squares in 4 ways, for example, as 1024144 + 4293184 = 1012^2 + 2072^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 5317328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5317327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30650 + ... + 30822.

Almost surely, 25317328 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 5317328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5534244).

5317328 is an abundant number, since it is smaller than the sum of its proper divisors (5751160).

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

5317328 is a wasteful number, since it uses less digits than its factorization.

5317328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 305 counting only the distinct ones).

The product of its digits is 5040, while the sum is 29.

The square root of 5317328 is about 2305.9332167259. The cubic root of 5317328 is about 174.5411434910.

The spelling of 5317328 in words is "five million, three hundred seventeen thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 17 34 68 113 136 173 226 272 346 452 692 904 1384 1808 1921 2768 2941 3842 5882 7684 11764 15368 19549 23528 30736 39098 47056 78196 156392 312784 332333 664666 1329332 2658664 5317328