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5385216 = 21031753
BaseRepresentation
bin10100100010110000000000
3101010121010110
4110202300000
52334311331
6311231320
763526224
oct24426000
911117113
105385216
113048aa1
121978540
131167225
14a02784
15715946
hex522c00

5385216 has 44 divisors (see below), whose sum is σ = 14361752. Its totient is φ = 1794048.

The previous prime is 5385199. The next prime is 5385217. The reversal of 5385216 is 6125835.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5385217) 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, 2196 + ... + 3948.

Almost surely, 25385216 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 5385216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7180876).

5385216 is an abundant number, since it is smaller than the sum of its proper divisors (8976536).

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

5385216 is a wasteful number, since it uses less digits than its factorization.

5385216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1776 (or 1758 counting only the distinct ones).

The product of its digits is 7200, while the sum is 30.

The square root of 5385216 is about 2320.6068171924. The cubic root of 5385216 is about 175.2808117427.

The spelling of 5385216 in words is "five million, three hundred eighty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 1753 3072 3506 5259 7012 10518 14024 21036 28048 42072 56096 84144 112192 168288 224384 336576 448768 673152 897536 1346304 1795072 2692608 5385216