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5584128 = 28311661
BaseRepresentation
bin10101010011010100000000
3101111200222120
4111103110000
52412143003
6315404240
765315154
oct25232400
911450876
105584128
113174490
121a53680
131206924
14a55064
15754853
hex553500

5584128 has 72 divisors (see below), whose sum is σ = 16237536. Its totient is φ = 1689600.

The previous prime is 5584099. The next prime is 5584129. The reversal of 5584128 is 8214855.

5584128 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5584129) 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, 8118 + ... + 8778.

Almost surely, 25584128 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 5584128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8118768).

5584128 is an abundant number, since it is smaller than the sum of its proper divisors (10653408).

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

5584128 is a wasteful number, since it uses less digits than its factorization.

5584128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691 (or 677 counting only the distinct ones).

The product of its digits is 12800, while the sum is 33.

The square root of 5584128 is about 2363.0759615383. The cubic root of 5584128 is about 177.4128700191.

The spelling of 5584128 in words is "five million, five hundred eighty-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 661 704 768 1056 1322 1408 1983 2112 2644 2816 3966 4224 5288 7271 7932 8448 10576 14542 15864 21152 21813 29084 31728 42304 43626 58168 63456 84608 87252 116336 126912 169216 174504 232672 253824 349008 465344 507648 698016 930688 1396032 1861376 2792064 5584128