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5219328 = 21031699
BaseRepresentation
bin10011111010010000000000
3100211011120110
4103322100000
52314004303
6303511320
762235462
oct23722000
910734513
105219328
112a453a4
1218b8540
13110987a
1499c132
156d1703
hex4fa400

5219328 has 44 divisors (see below), whose sum is σ = 13919600. Its totient is φ = 1738752.

The previous prime is 5219327. The next prime is 5219339. The reversal of 5219328 is 8239125.

It is a happy number.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 5219295 and 5219304.

It is not an unprimeable number, because it can be changed into a prime (5219327) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2223 + ... + 3921.

Almost surely, 25219328 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 5219328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6959800).

5219328 is an abundant number, since it is smaller than the sum of its proper divisors (8700272).

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

5219328 is a wasteful number, since it uses less digits than its factorization.

5219328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1722 (or 1704 counting only the distinct ones).

The product of its digits is 4320, while the sum is 30.

The square root of 5219328 is about 2284.5848638210. The cubic root of 5219328 is about 173.4622052787.

The spelling of 5219328 in words is "five million, two hundred nineteen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 1699 3072 3398 5097 6796 10194 13592 20388 27184 40776 54368 81552 108736 163104 217472 326208 434944 652416 869888 1304832 1739776 2609664 5219328