Search a number
-
+
5480832 = 27372039
BaseRepresentation
bin10100111010000110000000
3101022110021210
4110322012000
52400341312
6313250120
764405050
oct24720600
911273253
105480832
113103915
121a03940
13119b8c6
14a29560
15733e3c
hex53a180

5480832 has 64 divisors (see below), whose sum is σ = 16646400. Its totient is φ = 1565184.

The previous prime is 5480821. The next prime is 5480837. The reversal of 5480832 is 2380845.

5480832 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 5480832.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5480837) 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, 1669 + ... + 3707.

It is an arithmetic number, because the mean of its divisors is an integer number (260100).

Almost surely, 25480832 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 5480832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8323200).

5480832 is an abundant number, since it is smaller than the sum of its proper divisors (11165568).

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

5480832 is a wasteful number, since it uses less digits than its factorization.

5480832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2063 (or 2051 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 5480832 is about 2341.1176817922. The cubic root of 5480832 is about 176.3121183386.

The spelling of 5480832 in words is "five million, four hundred eighty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2039 2688 4078 6117 8156 12234 14273 16312 24468 28546 32624 42819 48936 57092 65248 85638 97872 114184 130496 171276 195744 228368 260992 342552 391488 456736 685104 782976 913472 1370208 1826944 2740416 5480832