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5484384 = 2532137139
BaseRepresentation
bin10100111010111101100000
3101022122011100
4110322331200
52401000014
6313314400
764421313
oct24727540
911278140
105484384
113106554
121a05a00
1311a03c9
14a2a97a
15735009
hex53af60

5484384 has 72 divisors (see below), whose sum is σ = 15823080. Its totient is φ = 1801728.

The previous prime is 5484379. The next prime is 5484389. The reversal of 5484384 is 4834845.

5484384 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (5484379) and next prime (5484389).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5484389) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39387 + ... + 39525.

It is an arithmetic number, because the mean of its divisors is an integer number (219765).

Almost surely, 25484384 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 5484384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7911540).

5484384 is an abundant number, since it is smaller than the sum of its proper divisors (10338696).

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

5484384 is a wasteful number, since it uses less digits than its factorization.

5484384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 281 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 5484384 is about 2341.8761709365. The cubic root of 5484384 is about 176.3501980440.

The spelling of 5484384 in words is "five million, four hundred eighty-four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 137 139 144 274 278 288 411 417 548 556 822 834 1096 1112 1233 1251 1644 1668 2192 2224 2466 2502 3288 3336 4384 4448 4932 5004 6576 6672 9864 10008 13152 13344 19043 19728 20016 38086 39456 40032 57129 76172 114258 152344 171387 228516 304688 342774 457032 609376 685548 914064 1371096 1828128 2742192 5484384