Search a number
-
+
5424576 = 263191487
BaseRepresentation
bin10100101100010111000000
3101012121010020
4110230113000
52342041301
6312133440
764052043
oct24542700
911177106
105424576
113075623
121997280
13117c111
14a12c5a
15722436
hex52c5c0

5424576 has 56 divisors (see below), whose sum is σ = 15118080. Its totient is φ = 1711872.

The previous prime is 5424569. The next prime is 5424577. The reversal of 5424576 is 6754245.

5424576 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5424577) 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, 2905 + ... + 4391.

Almost surely, 25424576 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 5424576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7559040).

5424576 is an abundant number, since it is smaller than the sum of its proper divisors (9693504).

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

5424576 is a wasteful number, since it uses less digits than its factorization.

5424576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1521 (or 1511 counting only the distinct ones).

The product of its digits is 33600, while the sum is 33.

The square root of 5424576 is about 2329.0719181683. The cubic root of 5424576 is about 175.7068121426.

It can be divided in two parts, 54 and 24576, that multiplied together give a square (1327104 = 11522).

The spelling of 5424576 in words is "five million, four hundred twenty-four thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 456 608 912 1216 1487 1824 2974 3648 4461 5948 8922 11896 17844 23792 28253 35688 47584 56506 71376 84759 95168 113012 142752 169518 226024 285504 339036 452048 678072 904096 1356144 1808192 2712288 5424576