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5480384 = 26713941
BaseRepresentation
bin10100111001111111000000
3101022102200012
4110321333000
52400333014
6313244052
764403540
oct24717700
911272605
105480384
113103548
121a03628
13119b640
14a29320
15733c3e
hex539fc0

5480384 has 56 divisors (see below), whose sum is σ = 13399008. Its totient is φ = 2165760.

The previous prime is 5480383. The next prime is 5480389. The reversal of 5480384 is 4830845.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 5480384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5480381) 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, 5354 + ... + 6294.

It is an arithmetic number, because the mean of its divisors is an integer number (239268).

Almost surely, 25480384 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 5480384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6699504).

5480384 is an abundant number, since it is smaller than the sum of its proper divisors (7918624).

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

5480384 is a wasteful number, since it uses less digits than its factorization.

5480384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 5480384 is about 2341.0219990423. The cubic root of 5480384 is about 176.3073143245.

The spelling of 5480384 in words is "five million, four hundred eighty thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 182 208 224 364 416 448 728 832 941 1456 1882 2912 3764 5824 6587 7528 12233 13174 15056 24466 26348 30112 48932 52696 60224 85631 97864 105392 171262 195728 210784 342524 391456 421568 685048 782912 1370096 2740192 5480384